What is a Perfect Square Number?

In this article we'll answer the question "what is a perfect square?" and list the first 1000 examples of perfect square numbers for you to use with students in the classroom.

What is a perfect square?

Put simply, a perfect square is the result of any positive integer that is squared. To square it, you multiply the number by itself.

For example, let's use the number 4 and work out the perfect square:

4 × 4 = 12

The result we get by squaring 4 (which can also be shown as 42) is 12, and 12 is a perfect square.

Whenever you calculate the square root of a number which is perfect, the result will be the original number we started with in this example.

For example:

√12 = 4

Just incase you're new to square roots and numbers, let's quickly define what a positive integer is. A positive integer is a whole number which has no fractional or decimal parts.

A perfect square number has to be a whole number and cannot have any decimals.

List of Perfect Squares

In the list below, we have calculated the first 1,000 perfect square numbers and included some information about them. Any numbers that resulted in a number which was not a positive integer have been excluded from the list, as those are not perfect squares.

Positive Integer Integer Squared Perfect Squares Square Root Original Integer
1 12 = 1 √1 = 1
2 22 = 4 √4 = 2
3 32 = 9 √9 = 3
4 42 = 16 √16 = 4
5 52 = 25 √25 = 5
6 62 = 36 √36 = 6
7 72 = 49 √49 = 7
8 82 = 64 √64 = 8
9 92 = 81 √81 = 9
10 102 = 100 √100 = 10
11 112 = 121 √121 = 11
12 122 = 144 √144 = 12
13 132 = 169 √169 = 13
14 142 = 196 √196 = 14
15 152 = 225 √225 = 15
16 162 = 256 √256 = 16
17 172 = 289 √289 = 17
18 182 = 324 √324 = 18
19 192 = 361 √361 = 19
20 202 = 400 √400 = 20
21 212 = 441 √441 = 21
22 222 = 484 √484 = 22
23 232 = 529 √529 = 23
24 242 = 576 √576 = 24
25 252 = 625 √625 = 25
26 262 = 676 √676 = 26
27 272 = 729 √729 = 27
28 282 = 784 √784 = 28
29 292 = 841 √841 = 29
30 302 = 900 √900 = 30
31 312 = 961 √961 = 31
32 322 = 1024 √1024 = 32
33 332 = 1089 √1089 = 33
34 342 = 1156 √1156 = 34
35 352 = 1225 √1225 = 35
36 362 = 1296 √1296 = 36
37 372 = 1369 √1369 = 37
38 382 = 1444 √1444 = 38
39 392 = 1521 √1521 = 39
40 402 = 1600 √1600 = 40
41 412 = 1681 √1681 = 41
42 422 = 1764 √1764 = 42
43 432 = 1849 √1849 = 43
44 442 = 1936 √1936 = 44
45 452 = 2025 √2025 = 45
46 462 = 2116 √2116 = 46
47 472 = 2209 √2209 = 47
48 482 = 2304 √2304 = 48
49 492 = 2401 √2401 = 49
50 502 = 2500 √2500 = 50
51 512 = 2601 √2601 = 51
52 522 = 2704 √2704 = 52
53 532 = 2809 √2809 = 53
54 542 = 2916 √2916 = 54
55 552 = 3025 √3025 = 55
56 562 = 3136 √3136 = 56
57 572 = 3249 √3249 = 57
58 582 = 3364 √3364 = 58
59 592 = 3481 √3481 = 59
60 602 = 3600 √3600 = 60
61 612 = 3721 √3721 = 61
62 622 = 3844 √3844 = 62
63 632 = 3969 √3969 = 63
64 642 = 4096 √4096 = 64
65 652 = 4225 √4225 = 65
66 662 = 4356 √4356 = 66
67 672 = 4489 √4489 = 67
68 682 = 4624 √4624 = 68
69 692 = 4761 √4761 = 69
70 702 = 4900 √4900 = 70
71 712 = 5041 √5041 = 71
72 722 = 5184 √5184 = 72
73 732 = 5329 √5329 = 73
74 742 = 5476 √5476 = 74
75 752 = 5625 √5625 = 75
76 762 = 5776 √5776 = 76
77 772 = 5929 √5929 = 77
78 782 = 6084 √6084 = 78
79 792 = 6241 √6241 = 79
80 802 = 6400 √6400 = 80
81 812 = 6561 √6561 = 81
82 822 = 6724 √6724 = 82
83 832 = 6889 √6889 = 83
84 842 = 7056 √7056 = 84
85 852 = 7225 √7225 = 85
86 862 = 7396 √7396 = 86
87 872 = 7569 √7569 = 87
88 882 = 7744 √7744 = 88
89 892 = 7921 √7921 = 89
90 902 = 8100 √8100 = 90
91 912 = 8281 √8281 = 91
92 922 = 8464 √8464 = 92
93 932 = 8649 √8649 = 93
94 942 = 8836 √8836 = 94
95 952 = 9025 √9025 = 95
96 962 = 9216 √9216 = 96
97 972 = 9409 √9409 = 97
98 982 = 9604 √9604 = 98
99 992 = 9801 √9801 = 99
100 1002 = 10000 √10000 = 100
101 1012 = 10201 √10201 = 101
102 1022 = 10404 √10404 = 102
103 1032 = 10609 √10609 = 103
104 1042 = 10816 √10816 = 104
105 1052 = 11025 √11025 = 105
106 1062 = 11236 √11236 = 106
107 1072 = 11449 √11449 = 107
108 1082 = 11664 √11664 = 108
109 1092 = 11881 √11881 = 109
110 1102 = 12100 √12100 = 110
111 1112 = 12321 √12321 = 111
112 1122 = 12544 √12544 = 112
113 1132 = 12769 √12769 = 113
114 1142 = 12996 √12996 = 114
115 1152 = 13225 √13225 = 115
116 1162 = 13456 √13456 = 116
117 1172 = 13689 √13689 = 117
118 1182 = 13924 √13924 = 118
119 1192 = 14161 √14161 = 119
120 1202 = 14400 √14400 = 120
121 1212 = 14641 √14641 = 121
122 1222 = 14884 √14884 = 122
123 1232 = 15129 √15129 = 123
124 1242 = 15376 √15376 = 124
125 1252 = 15625 √15625 = 125
126 1262 = 15876 √15876 = 126
127 1272 = 16129 √16129 = 127
128 1282 = 16384 √16384 = 128
129 1292 = 16641 √16641 = 129
130 1302 = 16900 √16900 = 130
131 1312 = 17161 √17161 = 131
132 1322 = 17424 √17424 = 132
133 1332 = 17689 √17689 = 133
134 1342 = 17956 √17956 = 134
135 1352 = 18225 √18225 = 135
136 1362 = 18496 √18496 = 136
137 1372 = 18769 √18769 = 137
138 1382 = 19044 √19044 = 138
139 1392 = 19321 √19321 = 139
140 1402 = 19600 √19600 = 140
141 1412 = 19881 √19881 = 141
142 1422 = 20164 √20164 = 142
143 1432 = 20449 √20449 = 143
144 1442 = 20736 √20736 = 144
145 1452 = 21025 √21025 = 145
146 1462 = 21316 √21316 = 146
147 1472 = 21609 √21609 = 147
148 1482 = 21904 √21904 = 148
149 1492 = 22201 √22201 = 149
150 1502 = 22500 √22500 = 150
151 1512 = 22801 √22801 = 151
152 1522 = 23104 √23104 = 152
153 1532 = 23409 √23409 = 153
154 1542 = 23716 √23716 = 154
155 1552 = 24025 √24025 = 155
156 1562 = 24336 √24336 = 156
157 1572 = 24649 √24649 = 157
158 1582 = 24964 √24964 = 158
159 1592 = 25281 √25281 = 159
160 1602 = 25600 √25600 = 160
161 1612 = 25921 √25921 = 161
162 1622 = 26244 √26244 = 162
163 1632 = 26569 √26569 = 163
164 1642 = 26896 √26896 = 164
165 1652 = 27225 √27225 = 165
166 1662 = 27556 √27556 = 166
167 1672 = 27889 √27889 = 167
168 1682 = 28224 √28224 = 168
169 1692 = 28561 √28561 = 169
170 1702 = 28900 √28900 = 170
171 1712 = 29241 √29241 = 171
172 1722 = 29584 √29584 = 172
173 1732 = 29929 √29929 = 173
174 1742 = 30276 √30276 = 174
175 1752 = 30625 √30625 = 175
176 1762 = 30976 √30976 = 176
177 1772 = 31329 √31329 = 177
178 1782 = 31684 √31684 = 178
179 1792 = 32041 √32041 = 179
180 1802 = 32400 √32400 = 180
181 1812 = 32761 √32761 = 181
182 1822 = 33124 √33124 = 182
183 1832 = 33489 √33489 = 183
184 1842 = 33856 √33856 = 184
185 1852 = 34225 √34225 = 185
186 1862 = 34596 √34596 = 186
187 1872 = 34969 √34969 = 187
188 1882 = 35344 √35344 = 188
189 1892 = 35721 √35721 = 189
190 1902 = 36100 √36100 = 190
191 1912 = 36481 √36481 = 191
192 1922 = 36864 √36864 = 192
193 1932 = 37249 √37249 = 193
194 1942 = 37636 √37636 = 194
195 1952 = 38025 √38025 = 195
196 1962 = 38416 √38416 = 196
197 1972 = 38809 √38809 = 197
198 1982 = 39204 √39204 = 198
199 1992 = 39601 √39601 = 199
200 2002 = 40000 √40000 = 200
201 2012 = 40401 √40401 = 201
202 2022 = 40804 √40804 = 202
203 2032 = 41209 √41209 = 203
204 2042 = 41616 √41616 = 204
205 2052 = 42025 √42025 = 205
206 2062 = 42436 √42436 = 206
207 2072 = 42849 √42849 = 207
208 2082 = 43264 √43264 = 208
209 2092 = 43681 √43681 = 209
210 2102 = 44100 √44100 = 210
211 2112 = 44521 √44521 = 211
212 2122 = 44944 √44944 = 212
213 2132 = 45369 √45369 = 213
214 2142 = 45796 √45796 = 214
215 2152 = 46225 √46225 = 215
216 2162 = 46656 √46656 = 216
217 2172 = 47089 √47089 = 217
218 2182 = 47524 √47524 = 218
219 2192 = 47961 √47961 = 219
220 2202 = 48400 √48400 = 220
221 2212 = 48841 √48841 = 221
222 2222 = 49284 √49284 = 222
223 2232 = 49729 √49729 = 223
224 2242 = 50176 √50176 = 224
225 2252 = 50625 √50625 = 225
226 2262 = 51076 √51076 = 226
227 2272 = 51529 √51529 = 227
228 2282 = 51984 √51984 = 228
229 2292 = 52441 √52441 = 229
230 2302 = 52900 √52900 = 230
231 2312 = 53361 √53361 = 231
232 2322 = 53824 √53824 = 232
233 2332 = 54289 √54289 = 233
234 2342 = 54756 √54756 = 234
235 2352 = 55225 √55225 = 235
236 2362 = 55696 √55696 = 236
237 2372 = 56169 √56169 = 237
238 2382 = 56644 √56644 = 238
239 2392 = 57121 √57121 = 239
240 2402 = 57600 √57600 = 240
241 2412 = 58081 √58081 = 241
242 2422 = 58564 √58564 = 242
243 2432 = 59049 √59049 = 243
244 2442 = 59536 √59536 = 244
245 2452 = 60025 √60025 = 245
246 2462 = 60516 √60516 = 246
247 2472 = 61009 √61009 = 247
248 2482 = 61504 √61504 = 248
249 2492 = 62001 √62001 = 249
250 2502 = 62500 √62500 = 250
251 2512 = 63001 √63001 = 251
252 2522 = 63504 √63504 = 252
253 2532 = 64009 √64009 = 253
254 2542 = 64516 √64516 = 254
255 2552 = 65025 √65025 = 255
256 2562 = 65536 √65536 = 256
257 2572 = 66049 √66049 = 257
258 2582 = 66564 √66564 = 258
259 2592 = 67081 √67081 = 259
260 2602 = 67600 √67600 = 260
261 2612 = 68121 √68121 = 261
262 2622 = 68644 √68644 = 262
263 2632 = 69169 √69169 = 263
264 2642 = 69696 √69696 = 264
265 2652 = 70225 √70225 = 265
266 2662 = 70756 √70756 = 266
267 2672 = 71289 √71289 = 267
268 2682 = 71824 √71824 = 268
269 2692 = 72361 √72361 = 269
270 2702 = 72900 √72900 = 270
271 2712 = 73441 √73441 = 271
272 2722 = 73984 √73984 = 272
273 2732 = 74529 √74529 = 273
274 2742 = 75076 √75076 = 274
275 2752 = 75625 √75625 = 275
276 2762 = 76176 √76176 = 276
277 2772 = 76729 √76729 = 277
278 2782 = 77284 √77284 = 278
279 2792 = 77841 √77841 = 279
280 2802 = 78400 √78400 = 280
281 2812 = 78961 √78961 = 281
282 2822 = 79524 √79524 = 282
283 2832 = 80089 √80089 = 283
284 2842 = 80656 √80656 = 284
285 2852 = 81225 √81225 = 285
286 2862 = 81796 √81796 = 286
287 2872 = 82369 √82369 = 287
288 2882 = 82944 √82944 = 288
289 2892 = 83521 √83521 = 289
290 2902 = 84100 √84100 = 290
291 2912 = 84681 √84681 = 291
292 2922 = 85264 √85264 = 292
293 2932 = 85849 √85849 = 293
294 2942 = 86436 √86436 = 294
295 2952 = 87025 √87025 = 295
296 2962 = 87616 √87616 = 296
297 2972 = 88209 √88209 = 297
298 2982 = 88804 √88804 = 298
299 2992 = 89401 √89401 = 299
300 3002 = 90000 √90000 = 300
301 3012 = 90601 √90601 = 301
302 3022 = 91204 √91204 = 302
303 3032 = 91809 √91809 = 303
304 3042 = 92416 √92416 = 304
305 3052 = 93025 √93025 = 305
306 3062 = 93636 √93636 = 306
307 3072 = 94249 √94249 = 307
308 3082 = 94864 √94864 = 308
309 3092 = 95481 √95481 = 309
310 3102 = 96100 √96100 = 310
311 3112 = 96721 √96721 = 311
312 3122 = 97344 √97344 = 312
313 3132 = 97969 √97969 = 313
314 3142 = 98596 √98596 = 314
315 3152 = 99225 √99225 = 315
316 3162 = 99856 √99856 = 316
317 3172 = 100489 √100489 = 317
318 3182 = 101124 √101124 = 318
319 3192 = 101761 √101761 = 319
320 3202 = 102400 √102400 = 320
321 3212 = 103041 √103041 = 321
322 3222 = 103684 √103684 = 322
323 3232 = 104329 √104329 = 323
324 3242 = 104976 √104976 = 324
325 3252 = 105625 √105625 = 325
326 3262 = 106276 √106276 = 326
327 3272 = 106929 √106929 = 327
328 3282 = 107584 √107584 = 328
329 3292 = 108241 √108241 = 329
330 3302 = 108900 √108900 = 330
331 3312 = 109561 √109561 = 331
332 3322 = 110224 √110224 = 332
333 3332 = 110889 √110889 = 333
334 3342 = 111556 √111556 = 334
335 3352 = 112225 √112225 = 335
336 3362 = 112896 √112896 = 336
337 3372 = 113569 √113569 = 337
338 3382 = 114244 √114244 = 338
339 3392 = 114921 √114921 = 339
340 3402 = 115600 √115600 = 340
341 3412 = 116281 √116281 = 341
342 3422 = 116964 √116964 = 342
343 3432 = 117649 √117649 = 343
344 3442 = 118336 √118336 = 344
345 3452 = 119025 √119025 = 345
346 3462 = 119716 √119716 = 346
347 3472 = 120409 √120409 = 347
348 3482 = 121104 √121104 = 348
349 3492 = 121801 √121801 = 349
350 3502 = 122500 √122500 = 350
351 3512 = 123201 √123201 = 351
352 3522 = 123904 √123904 = 352
353 3532 = 124609 √124609 = 353
354 3542 = 125316 √125316 = 354
355 3552 = 126025 √126025 = 355
356 3562 = 126736 √126736 = 356
357 3572 = 127449 √127449 = 357
358 3582 = 128164 √128164 = 358
359 3592 = 128881 √128881 = 359
360 3602 = 129600 √129600 = 360
361 3612 = 130321 √130321 = 361
362 3622 = 131044 √131044 = 362
363 3632 = 131769 √131769 = 363
364 3642 = 132496 √132496 = 364
365 3652 = 133225 √133225 = 365
366 3662 = 133956 √133956 = 366
367 3672 = 134689 √134689 = 367
368 3682 = 135424 √135424 = 368
369 3692 = 136161 √136161 = 369
370 3702 = 136900 √136900 = 370
371 3712 = 137641 √137641 = 371
372 3722 = 138384 √138384 = 372
373 3732 = 139129 √139129 = 373
374 3742 = 139876 √139876 = 374
375 3752 = 140625 √140625 = 375
376 3762 = 141376 √141376 = 376
377 3772 = 142129 √142129 = 377
378 3782 = 142884 √142884 = 378
379 3792 = 143641 √143641 = 379
380 3802 = 144400 √144400 = 380
381 3812 = 145161 √145161 = 381
382 3822 = 145924 √145924 = 382
383 3832 = 146689 √146689 = 383
384 3842 = 147456 √147456 = 384
385 3852 = 148225 √148225 = 385
386 3862 = 148996 √148996 = 386
387 3872 = 149769 √149769 = 387
388 3882 = 150544 √150544 = 388
389 3892 = 151321 √151321 = 389
390 3902 = 152100 √152100 = 390
391 3912 = 152881 √152881 = 391
392 3922 = 153664 √153664 = 392
393 3932 = 154449 √154449 = 393
394 3942 = 155236 √155236 = 394
395 3952 = 156025 √156025 = 395
396 3962 = 156816 √156816 = 396
397 3972 = 157609 √157609 = 397
398 3982 = 158404 √158404 = 398
399 3992 = 159201 √159201 = 399
400 4002 = 160000 √160000 = 400
401 4012 = 160801 √160801 = 401
402 4022 = 161604 √161604 = 402
403 4032 = 162409 √162409 = 403
404 4042 = 163216 √163216 = 404
405 4052 = 164025 √164025 = 405
406 4062 = 164836 √164836 = 406
407 4072 = 165649 √165649 = 407
408 4082 = 166464 √166464 = 408
409 4092 = 167281 √167281 = 409
410 4102 = 168100 √168100 = 410
411 4112 = 168921 √168921 = 411
412 4122 = 169744 √169744 = 412
413 4132 = 170569 √170569 = 413
414 4142 = 171396 √171396 = 414
415 4152 = 172225 √172225 = 415
416 4162 = 173056 √173056 = 416
417 4172 = 173889 √173889 = 417
418 4182 = 174724 √174724 = 418
419 4192 = 175561 √175561 = 419
420 4202 = 176400 √176400 = 420
421 4212 = 177241 √177241 = 421
422 4222 = 178084 √178084 = 422
423 4232 = 178929 √178929 = 423
424 4242 = 179776 √179776 = 424
425 4252 = 180625 √180625 = 425
426 4262 = 181476 √181476 = 426
427 4272 = 182329 √182329 = 427
428 4282 = 183184 √183184 = 428
429 4292 = 184041 √184041 = 429
430 4302 = 184900 √184900 = 430
431 4312 = 185761 √185761 = 431
432 4322 = 186624 √186624 = 432
433 4332 = 187489 √187489 = 433
434 4342 = 188356 √188356 = 434
435 4352 = 189225 √189225 = 435
436 4362 = 190096 √190096 = 436
437 4372 = 190969 √190969 = 437
438 4382 = 191844 √191844 = 438
439 4392 = 192721 √192721 = 439
440 4402 = 193600 √193600 = 440
441 4412 = 194481 √194481 = 441
442 4422 = 195364 √195364 = 442
443 4432 = 196249 √196249 = 443
444 4442 = 197136 √197136 = 444
445 4452 = 198025 √198025 = 445
446 4462 = 198916 √198916 = 446
447 4472 = 199809 √199809 = 447
448 4482 = 200704 √200704 = 448
449 4492 = 201601 √201601 = 449
450 4502 = 202500 √202500 = 450
451 4512 = 203401 √203401 = 451
452 4522 = 204304 √204304 = 452
453 4532 = 205209 √205209 = 453
454 4542 = 206116 √206116 = 454
455 4552 = 207025 √207025 = 455
456 4562 = 207936 √207936 = 456
457 4572 = 208849 √208849 = 457
458 4582 = 209764 √209764 = 458
459 4592 = 210681 √210681 = 459
460 4602 = 211600 √211600 = 460
461 4612 = 212521 √212521 = 461
462 4622 = 213444 √213444 = 462
463 4632 = 214369 √214369 = 463
464 4642 = 215296 √215296 = 464
465 4652 = 216225 √216225 = 465
466 4662 = 217156 √217156 = 466
467 4672 = 218089 √218089 = 467
468 4682 = 219024 √219024 = 468
469 4692 = 219961 √219961 = 469
470 4702 = 220900 √220900 = 470
471 4712 = 221841 √221841 = 471
472 4722 = 222784 √222784 = 472
473 4732 = 223729 √223729 = 473
474 4742 = 224676 √224676 = 474
475 4752 = 225625 √225625 = 475
476 4762 = 226576 √226576 = 476
477 4772 = 227529 √227529 = 477
478 4782 = 228484 √228484 = 478
479 4792 = 229441 √229441 = 479
480 4802 = 230400 √230400 = 480
481 4812 = 231361 √231361 = 481
482 4822 = 232324 √232324 = 482
483 4832 = 233289 √233289 = 483
484 4842 = 234256 √234256 = 484
485 4852 = 235225 √235225 = 485
486 4862 = 236196 √236196 = 486
487 4872 = 237169 √237169 = 487
488 4882 = 238144 √238144 = 488
489 4892 = 239121 √239121 = 489
490 4902 = 240100 √240100 = 490
491 4912 = 241081 √241081 = 491
492 4922 = 242064 √242064 = 492
493 4932 = 243049 √243049 = 493
494 4942 = 244036 √244036 = 494
495 4952 = 245025 √245025 = 495
496 4962 = 246016 √246016 = 496
497 4972 = 247009 √247009 = 497
498 4982 = 248004 √248004 = 498
499 4992 = 249001 √249001 = 499
500 5002 = 250000 √250000 = 500
501 5012 = 251001 √251001 = 501
502 5022 = 252004 √252004 = 502
503 5032 = 253009 √253009 = 503
504 5042 = 254016 √254016 = 504
505 5052 = 255025 √255025 = 505
506 5062 = 256036 √256036 = 506
507 5072 = 257049 √257049 = 507
508 5082 = 258064 √258064 = 508
509 5092 = 259081 √259081 = 509
510 5102 = 260100 √260100 = 510
511 5112 = 261121 √261121 = 511
512 5122 = 262144 √262144 = 512
513 5132 = 263169 √263169 = 513
514 5142 = 264196 √264196 = 514
515 5152 = 265225 √265225 = 515
516 5162 = 266256 √266256 = 516
517 5172 = 267289 √267289 = 517
518 5182 = 268324 √268324 = 518
519 5192 = 269361 √269361 = 519
520 5202 = 270400 √270400 = 520
521 5212 = 271441 √271441 = 521
522 5222 = 272484 √272484 = 522
523 5232 = 273529 √273529 = 523
524 5242 = 274576 √274576 = 524
525 5252 = 275625 √275625 = 525
526 5262 = 276676 √276676 = 526
527 5272 = 277729 √277729 = 527
528 5282 = 278784 √278784 = 528
529 5292 = 279841 √279841 = 529
530 5302 = 280900 √280900 = 530
531 5312 = 281961 √281961 = 531
532 5322 = 283024 √283024 = 532
533 5332 = 284089 √284089 = 533
534 5342 = 285156 √285156 = 534
535 5352 = 286225 √286225 = 535
536 5362 = 287296 √287296 = 536
537 5372 = 288369 √288369 = 537
538 5382 = 289444 √289444 = 538
539 5392 = 290521 √290521 = 539
540 5402 = 291600 √291600 = 540
541 5412 = 292681 √292681 = 541
542 5422 = 293764 √293764 = 542
543 5432 = 294849 √294849 = 543
544 5442 = 295936 √295936 = 544
545 5452 = 297025 √297025 = 545
546 5462 = 298116 √298116 = 546
547 5472 = 299209 √299209 = 547
548 5482 = 300304 √300304 = 548
549 5492 = 301401 √301401 = 549
550 5502 = 302500 √302500 = 550
551 5512 = 303601 √303601 = 551
552 5522 = 304704 √304704 = 552
553 5532 = 305809 √305809 = 553
554 5542 = 306916 √306916 = 554
555 5552 = 308025 √308025 = 555
556 5562 = 309136 √309136 = 556
557 5572 = 310249 √310249 = 557
558 5582 = 311364 √311364 = 558
559 5592 = 312481 √312481 = 559
560 5602 = 313600 √313600 = 560
561 5612 = 314721 √314721 = 561
562 5622 = 315844 √315844 = 562
563 5632 = 316969 √316969 = 563
564 5642 = 318096 √318096 = 564
565 5652 = 319225 √319225 = 565
566 5662 = 320356 √320356 = 566
567 5672 = 321489 √321489 = 567
568 5682 = 322624 √322624 = 568
569 5692 = 323761 √323761 = 569
570 5702 = 324900 √324900 = 570
571 5712 = 326041 √326041 = 571
572 5722 = 327184 √327184 = 572
573 5732 = 328329 √328329 = 573
574 5742 = 329476 √329476 = 574
575 5752 = 330625 √330625 = 575
576 5762 = 331776 √331776 = 576
577 5772 = 332929 √332929 = 577
578 5782 = 334084 √334084 = 578
579 5792 = 335241 √335241 = 579
580 5802 = 336400 √336400 = 580
581 5812 = 337561 √337561 = 581
582 5822 = 338724 √338724 = 582
583 5832 = 339889 √339889 = 583
584 5842 = 341056 √341056 = 584
585 5852 = 342225 √342225 = 585
586 5862 = 343396 √343396 = 586
587 5872 = 344569 √344569 = 587
588 5882 = 345744 √345744 = 588
589 5892 = 346921 √346921 = 589
590 5902 = 348100 √348100 = 590
591 5912 = 349281 √349281 = 591
592 5922 = 350464 √350464 = 592
593 5932 = 351649 √351649 = 593
594 5942 = 352836 √352836 = 594
595 5952 = 354025 √354025 = 595
596 5962 = 355216 √355216 = 596
597 5972 = 356409 √356409 = 597
598 5982 = 357604 √357604 = 598
599 5992 = 358801 √358801 = 599
600 6002 = 360000 √360000 = 600
601 6012 = 361201 √361201 = 601
602 6022 = 362404 √362404 = 602
603 6032 = 363609 √363609 = 603
604 6042 = 364816 √364816 = 604
605 6052 = 366025 √366025 = 605
606 6062 = 367236 √367236 = 606
607 6072 = 368449 √368449 = 607
608 6082 = 369664 √369664 = 608
609 6092 = 370881 √370881 = 609
610 6102 = 372100 √372100 = 610
611 6112 = 373321 √373321 = 611
612 6122 = 374544 √374544 = 612
613 6132 = 375769 √375769 = 613
614 6142 = 376996 √376996 = 614
615 6152 = 378225 √378225 = 615
616 6162 = 379456 √379456 = 616
617 6172 = 380689 √380689 = 617
618 6182 = 381924 √381924 = 618
619 6192 = 383161 √383161 = 619
620 6202 = 384400 √384400 = 620
621 6212 = 385641 √385641 = 621
622 6222 = 386884 √386884 = 622
623 6232 = 388129 √388129 = 623
624 6242 = 389376 √389376 = 624
625 6252 = 390625 √390625 = 625
626 6262 = 391876 √391876 = 626
627 6272 = 393129 √393129 = 627
628 6282 = 394384 √394384 = 628
629 6292 = 395641 √395641 = 629
630 6302 = 396900 √396900 = 630
631 6312 = 398161 √398161 = 631
632 6322 = 399424 √399424 = 632
633 6332 = 400689 √400689 = 633
634 6342 = 401956 √401956 = 634
635 6352 = 403225 √403225 = 635
636 6362 = 404496 √404496 = 636
637 6372 = 405769 √405769 = 637
638 6382 = 407044 √407044 = 638
639 6392 = 408321 √408321 = 639
640 6402 = 409600 √409600 = 640
641 6412 = 410881 √410881 = 641
642 6422 = 412164 √412164 = 642
643 6432 = 413449 √413449 = 643
644 6442 = 414736 √414736 = 644
645 6452 = 416025 √416025 = 645
646 6462 = 417316 √417316 = 646
647 6472 = 418609 √418609 = 647
648 6482 = 419904 √419904 = 648
649 6492 = 421201 √421201 = 649
650 6502 = 422500 √422500 = 650
651 6512 = 423801 √423801 = 651
652 6522 = 425104 √425104 = 652
653 6532 = 426409 √426409 = 653
654 6542 = 427716 √427716 = 654
655 6552 = 429025 √429025 = 655
656 6562 = 430336 √430336 = 656
657 6572 = 431649 √431649 = 657
658 6582 = 432964 √432964 = 658
659 6592 = 434281 √434281 = 659
660 6602 = 435600 √435600 = 660
661 6612 = 436921 √436921 = 661
662 6622 = 438244 √438244 = 662
663 6632 = 439569 √439569 = 663
664 6642 = 440896 √440896 = 664
665 6652 = 442225 √442225 = 665
666 6662 = 443556 √443556 = 666
667 6672 = 444889 √444889 = 667
668 6682 = 446224 √446224 = 668
669 6692 = 447561 √447561 = 669
670 6702 = 448900 √448900 = 670
671 6712 = 450241 √450241 = 671
672 6722 = 451584 √451584 = 672
673 6732 = 452929 √452929 = 673
674 6742 = 454276 √454276 = 674
675 6752 = 455625 √455625 = 675
676 6762 = 456976 √456976 = 676
677 6772 = 458329 √458329 = 677
678 6782 = 459684 √459684 = 678
679 6792 = 461041 √461041 = 679
680 6802 = 462400 √462400 = 680
681 6812 = 463761 √463761 = 681
682 6822 = 465124 √465124 = 682
683 6832 = 466489 √466489 = 683
684 6842 = 467856 √467856 = 684
685 6852 = 469225 √469225 = 685
686 6862 = 470596 √470596 = 686
687 6872 = 471969 √471969 = 687
688 6882 = 473344 √473344 = 688
689 6892 = 474721 √474721 = 689
690 6902 = 476100 √476100 = 690
691 6912 = 477481 √477481 = 691
692 6922 = 478864 √478864 = 692
693 6932 = 480249 √480249 = 693
694 6942 = 481636 √481636 = 694
695 6952 = 483025 √483025 = 695
696 6962 = 484416 √484416 = 696
697 6972 = 485809 √485809 = 697
698 6982 = 487204 √487204 = 698
699 6992 = 488601 √488601 = 699
700 7002 = 490000 √490000 = 700
701 7012 = 491401 √491401 = 701
702 7022 = 492804 √492804 = 702
703 7032 = 494209 √494209 = 703
704 7042 = 495616 √495616 = 704
705 7052 = 497025 √497025 = 705
706 7062 = 498436 √498436 = 706
707 7072 = 499849 √499849 = 707
708 7082 = 501264 √501264 = 708
709 7092 = 502681 √502681 = 709
710 7102 = 504100 √504100 = 710
711 7112 = 505521 √505521 = 711
712 7122 = 506944 √506944 = 712
713 7132 = 508369 √508369 = 713
714 7142 = 509796 √509796 = 714
715 7152 = 511225 √511225 = 715
716 7162 = 512656 √512656 = 716
717 7172 = 514089 √514089 = 717
718 7182 = 515524 √515524 = 718
719 7192 = 516961 √516961 = 719
720 7202 = 518400 √518400 = 720
721 7212 = 519841 √519841 = 721
722 7222 = 521284 √521284 = 722
723 7232 = 522729 √522729 = 723
724 7242 = 524176 √524176 = 724
725 7252 = 525625 √525625 = 725
726 7262 = 527076 √527076 = 726
727 7272 = 528529 √528529 = 727
728 7282 = 529984 √529984 = 728
729 7292 = 531441 √531441 = 729
730 7302 = 532900 √532900 = 730
731 7312 = 534361 √534361 = 731
732 7322 = 535824 √535824 = 732
733 7332 = 537289 √537289 = 733
734 7342 = 538756 √538756 = 734
735 7352 = 540225 √540225 = 735
736 7362 = 541696 √541696 = 736
737 7372 = 543169 √543169 = 737
738 7382 = 544644 √544644 = 738
739 7392 = 546121 √546121 = 739
740 7402 = 547600 √547600 = 740
741 7412 = 549081 √549081 = 741
742 7422 = 550564 √550564 = 742
743 7432 = 552049 √552049 = 743
744 7442 = 553536 √553536 = 744
745 7452 = 555025 √555025 = 745
746 7462 = 556516 √556516 = 746
747 7472 = 558009 √558009 = 747
748 7482 = 559504 √559504 = 748
749 7492 = 561001 √561001 = 749
750 7502 = 562500 √562500 = 750
751 7512 = 564001 √564001 = 751
752 7522 = 565504 √565504 = 752
753 7532 = 567009 √567009 = 753
754 7542 = 568516 √568516 = 754
755 7552 = 570025 √570025 = 755
756 7562 = 571536 √571536 = 756
757 7572 = 573049 √573049 = 757
758 7582 = 574564 √574564 = 758
759 7592 = 576081 √576081 = 759
760 7602 = 577600 √577600 = 760
761 7612 = 579121 √579121 = 761
762 7622 = 580644 √580644 = 762
763 7632 = 582169 √582169 = 763
764 7642 = 583696 √583696 = 764
765 7652 = 585225 √585225 = 765
766 7662 = 586756 √586756 = 766
767 7672 = 588289 √588289 = 767
768 7682 = 589824 √589824 = 768
769 7692 = 591361 √591361 = 769
770 7702 = 592900 √592900 = 770
771 7712 = 594441 √594441 = 771
772 7722 = 595984 √595984 = 772
773 7732 = 597529 √597529 = 773
774 7742 = 599076 √599076 = 774
775 7752 = 600625 √600625 = 775
776 7762 = 602176 √602176 = 776
777 7772 = 603729 √603729 = 777
778 7782 = 605284 √605284 = 778
779 7792 = 606841 √606841 = 779
780 7802 = 608400 √608400 = 780
781 7812 = 609961 √609961 = 781
782 7822 = 611524 √611524 = 782
783 7832 = 613089 √613089 = 783
784 7842 = 614656 √614656 = 784
785 7852 = 616225 √616225 = 785
786 7862 = 617796 √617796 = 786
787 7872 = 619369 √619369 = 787
788 7882 = 620944 √620944 = 788
789 7892 = 622521 √622521 = 789
790 7902 = 624100 √624100 = 790
791 7912 = 625681 √625681 = 791
792 7922 = 627264 √627264 = 792
793 7932 = 628849 √628849 = 793
794 7942 = 630436 √630436 = 794
795 7952 = 632025 √632025 = 795
796 7962 = 633616 √633616 = 796
797 7972 = 635209 √635209 = 797
798 7982 = 636804 √636804 = 798
799 7992 = 638401 √638401 = 799
800 8002 = 640000 √640000 = 800
801 8012 = 641601 √641601 = 801
802 8022 = 643204 √643204 = 802
803 8032 = 644809 √644809 = 803
804 8042 = 646416 √646416 = 804
805 8052 = 648025 √648025 = 805
806 8062 = 649636 √649636 = 806
807 8072 = 651249 √651249 = 807
808 8082 = 652864 √652864 = 808
809 8092 = 654481 √654481 = 809
810 8102 = 656100 √656100 = 810
811 8112 = 657721 √657721 = 811
812 8122 = 659344 √659344 = 812
813 8132 = 660969 √660969 = 813
814 8142 = 662596 √662596 = 814
815 8152 = 664225 √664225 = 815
816 8162 = 665856 √665856 = 816
817 8172 = 667489 √667489 = 817
818 8182 = 669124 √669124 = 818
819 8192 = 670761 √670761 = 819
820 8202 = 672400 √672400 = 820
821 8212 = 674041 √674041 = 821
822 8222 = 675684 √675684 = 822
823 8232 = 677329 √677329 = 823
824 8242 = 678976 √678976 = 824
825 8252 = 680625 √680625 = 825
826 8262 = 682276 √682276 = 826
827 8272 = 683929 √683929 = 827
828 8282 = 685584 √685584 = 828
829 8292 = 687241 √687241 = 829
830 8302 = 688900 √688900 = 830
831 8312 = 690561 √690561 = 831
832 8322 = 692224 √692224 = 832
833 8332 = 693889 √693889 = 833
834 8342 = 695556 √695556 = 834
835 8352 = 697225 √697225 = 835
836 8362 = 698896 √698896 = 836
837 8372 = 700569 √700569 = 837
838 8382 = 702244 √702244 = 838
839 8392 = 703921 √703921 = 839
840 8402 = 705600 √705600 = 840
841 8412 = 707281 √707281 = 841
842 8422 = 708964 √708964 = 842
843 8432 = 710649 √710649 = 843
844 8442 = 712336 √712336 = 844
845 8452 = 714025 √714025 = 845
846 8462 = 715716 √715716 = 846
847 8472 = 717409 √717409 = 847
848 8482 = 719104 √719104 = 848
849 8492 = 720801 √720801 = 849
850 8502 = 722500 √722500 = 850
851 8512 = 724201 √724201 = 851
852 8522 = 725904 √725904 = 852
853 8532 = 727609 √727609 = 853
854 8542 = 729316 √729316 = 854
855 8552 = 731025 √731025 = 855
856 8562 = 732736 √732736 = 856
857 8572 = 734449 √734449 = 857
858 8582 = 736164 √736164 = 858
859 8592 = 737881 √737881 = 859
860 8602 = 739600 √739600 = 860
861 8612 = 741321 √741321 = 861
862 8622 = 743044 √743044 = 862
863 8632 = 744769 √744769 = 863
864 8642 = 746496 √746496 = 864
865 8652 = 748225 √748225 = 865
866 8662 = 749956 √749956 = 866
867 8672 = 751689 √751689 = 867
868 8682 = 753424 √753424 = 868
869 8692 = 755161 √755161 = 869
870 8702 = 756900 √756900 = 870
871 8712 = 758641 √758641 = 871
872 8722 = 760384 √760384 = 872
873 8732 = 762129 √762129 = 873
874 8742 = 763876 √763876 = 874
875 8752 = 765625 √765625 = 875
876 8762 = 767376 √767376 = 876
877 8772 = 769129 √769129 = 877
878 8782 = 770884 √770884 = 878
879 8792 = 772641 √772641 = 879
880 8802 = 774400 √774400 = 880
881 8812 = 776161 √776161 = 881
882 8822 = 777924 √777924 = 882
883 8832 = 779689 √779689 = 883
884 8842 = 781456 √781456 = 884
885 8852 = 783225 √783225 = 885
886 8862 = 784996 √784996 = 886
887 8872 = 786769 √786769 = 887
888 8882 = 788544 √788544 = 888
889 8892 = 790321 √790321 = 889
890 8902 = 792100 √792100 = 890
891 8912 = 793881 √793881 = 891
892 8922 = 795664 √795664 = 892
893 8932 = 797449 √797449 = 893
894 8942 = 799236 √799236 = 894
895 8952 = 801025 √801025 = 895
896 8962 = 802816 √802816 = 896
897 8972 = 804609 √804609 = 897
898 8982 = 806404 √806404 = 898
899 8992 = 808201 √808201 = 899
900 9002 = 810000 √810000 = 900
901 9012 = 811801 √811801 = 901
902 9022 = 813604 √813604 = 902
903 9032 = 815409 √815409 = 903
904 9042 = 817216 √817216 = 904
905 9052 = 819025 √819025 = 905
906 9062 = 820836 √820836 = 906
907 9072 = 822649 √822649 = 907
908 9082 = 824464 √824464 = 908
909 9092 = 826281 √826281 = 909
910 9102 = 828100 √828100 = 910
911 9112 = 829921 √829921 = 911
912 9122 = 831744 √831744 = 912
913 9132 = 833569 √833569 = 913
914 9142 = 835396 √835396 = 914
915 9152 = 837225 √837225 = 915
916 9162 = 839056 √839056 = 916
917 9172 = 840889 √840889 = 917
918 9182 = 842724 √842724 = 918
919 9192 = 844561 √844561 = 919
920 9202 = 846400 √846400 = 920
921 9212 = 848241 √848241 = 921
922 9222 = 850084 √850084 = 922
923 9232 = 851929 √851929 = 923
924 9242 = 853776 √853776 = 924
925 9252 = 855625 √855625 = 925
926 9262 = 857476 √857476 = 926
927 9272 = 859329 √859329 = 927
928 9282 = 861184 √861184 = 928
929 9292 = 863041 √863041 = 929
930 9302 = 864900 √864900 = 930
931 9312 = 866761 √866761 = 931
932 9322 = 868624 √868624 = 932
933 9332 = 870489 √870489 = 933
934 9342 = 872356 √872356 = 934
935 9352 = 874225 √874225 = 935
936 9362 = 876096 √876096 = 936
937 9372 = 877969 √877969 = 937
938 9382 = 879844 √879844 = 938
939 9392 = 881721 √881721 = 939
940 9402 = 883600 √883600 = 940
941 9412 = 885481 √885481 = 941
942 9422 = 887364 √887364 = 942
943 9432 = 889249 √889249 = 943
944 9442 = 891136 √891136 = 944
945 9452 = 893025 √893025 = 945
946 9462 = 894916 √894916 = 946
947 9472 = 896809 √896809 = 947
948 9482 = 898704 √898704 = 948
949 9492 = 900601 √900601 = 949
950 9502 = 902500 √902500 = 950
951 9512 = 904401 √904401 = 951
952 9522 = 906304 √906304 = 952
953 9532 = 908209 √908209 = 953
954 9542 = 910116 √910116 = 954
955 9552 = 912025 √912025 = 955
956 9562 = 913936 √913936 = 956
957 9572 = 915849 √915849 = 957
958 9582 = 917764 √917764 = 958
959 9592 = 919681 √919681 = 959
960 9602 = 921600 √921600 = 960
961 9612 = 923521 √923521 = 961
962 9622 = 925444 √925444 = 962
963 9632 = 927369 √927369 = 963
964 9642 = 929296 √929296 = 964
965 9652 = 931225 √931225 = 965
966 9662 = 933156 √933156 = 966
967 9672 = 935089 √935089 = 967
968 9682 = 937024 √937024 = 968
969 9692 = 938961 √938961 = 969
970 9702 = 940900 √940900 = 970
971 9712 = 942841 √942841 = 971
972 9722 = 944784 √944784 = 972
973 9732 = 946729 √946729 = 973
974 9742 = 948676 √948676 = 974
975 9752 = 950625 √950625 = 975
976 9762 = 952576 √952576 = 976
977 9772 = 954529 √954529 = 977
978 9782 = 956484 √956484 = 978
979 9792 = 958441 √958441 = 979
980 9802 = 960400 √960400 = 980
981 9812 = 962361 √962361 = 981
982 9822 = 964324 √964324 = 982
983 9832 = 966289 √966289 = 983
984 9842 = 968256 √968256 = 984
985 9852 = 970225 √970225 = 985
986 9862 = 972196 √972196 = 986
987 9872 = 974169 √974169 = 987
988 9882 = 976144 √976144 = 988
989 9892 = 978121 √978121 = 989
990 9902 = 980100 √980100 = 990
991 9912 = 982081 √982081 = 991
992 9922 = 984064 √984064 = 992
993 9932 = 986049 √986049 = 993
994 9942 = 988036 √988036 = 994
995 9952 = 990025 √990025 = 995
996 9962 = 992016 √992016 = 996
997 9972 = 994009 √994009 = 997
998 9982 = 996004 √996004 = 998
999 9992 = 998001 √998001 = 999
1000 10002 = 1000000 √1000000 = 1000

Practice perfect squares and square roots using examples

Still here and interested in perfect squares? You must really love yourself some math!

Take a look at the random calculations in the sidebar on the right hand side of this page and click through to some of the square root calculations.

How many of them are perfect squares? You can also try to think of and calculate some perfect squares yourself without looking at the list above to test yourself.

Calculate a square root problem

If you have an example you want to try and see if it is a perfect square, enter it in the form below and click calculate to find out if it is.

Enter a number in the box below and then click the Calculate button to find the square root of the number.