Prime Factors of 745

Looking to get a list of the prime factors of 745? In this article we'll give you all of the information you need, including the definition of the prime factors of 745, how to calculate the prime factors of 745 (also known as the prime factorization of 745). As a bonus, we'll also list out the prime factor tree of 745 the product of prime factors of 745, and tell you how many prime factors 745 has.

Prime Factors of 745 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 745, we're talking about the building blocks of the number. A prime factor is a positive integer that can only be divided by 1 and itself. The prime factors of 745 are all of the prime numbers in it that when multipled together will equal 745.

Let's look at how to find all of the prime factors of 745 and list them out.

How to Find the Prime Factors of 745

You'll often see the process of finding prime factors of 745 referred to as prime factorization. To get the prime factors of 745 we need to divide 745 by the smallest prime number possible. You then repeat the same process by taking the result and dividing that number by the smallest prime number. Eventually, you end up with the number 1.

This process creates something called a prime factor tree of 745. The prime numbers used in this tree are the prime factors of 745. Let's look at the prime factor tree for 745:

  • 745 ÷ 5 = 149
  • 149 ÷ 149 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 745 as well. So what we are left with is the answer to your search, the prime factors of 745:

5, and 149

How Many Prime Factors of 745 Are There?

If we count up all of the prime factors of 745 used in the prime factor tree above, we can see that 745 has a total of 2 prime factors.

Product of Prime Factors of 745

The prime factors shown above (5, and 149) are completely unique to 745. When we multiply all of them together the result will be 745 and this is what we call the product of prime factors of 745. The prime factor products of 745 are listed below:

5 x 149 = 745

So there you have it. A complete guide to the factors of 745. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like.

Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. Just make sure to pick small numbers!

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Prime Factors of 746