Factors of 68
So you need to find the factors of 68 do you? In this quick guide we'll describe what the factors of 68 are, how you find them and list out the factor pairs of 68 for you to prove the calculation works. Let's dive in!
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Factors of 68 Definition
When we talk about the factors of 68, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 68. If you were to take 68 and divide it by one of its factors, the answer would be another factor of 68.
Let's look at how to find all of the factors of 68 and list them out.
How to Find the Factors of 68
We just said that a factor is a number that can be divided equally into 68. So the way you find and list all of the factors of 68 is to go through every number up to and including 68 and check which numbers result in an even quotient (which means no decimal place).
Doing this by hand for large numbers can be time consuming, but it's relatively easy for a computer program to do it. Our calculator has worked this out for you. Here are all of the factors of 68:
- 68 ÷ 1 = 68
- 68 ÷ 2 = 34
- 68 ÷ 4 = 17
- 68 ÷ 17 = 4
- 68 ÷ 34 = 2
- 68 ÷ 68 = 1
All of these factors can be used to divide 68 by and get a whole number. The full list of positive factors for 68 are:
1, 2, 4, 17, 34, and 68
Negative Factors of 68
Technically, in math you can also have negative factors of 68. If you are looking to calculate the factors of a number for homework or a test, most often the teacher or exam will be looking for specifically positive numbers.
However, we can just flip the positive numbers into negatives and those negative numbers would also be factors of 68:
-1, -2, -4, -17, -34, and -68
How Many Factors of 68 Are There?
As we can see from the calculations above there are a total of 6 positive factors for 68 and 6 negative factors for 68 for a total of 12 factors for the number 68.
There are 6 positive factors of 68 and 6 negative factors of 68. Wht are there negative numbers that can be a factor of 68?
Factor Pairs of 68
A factor pair is a combination of two factors which can be multiplied together to equal 68. For 68, all of the possible factor pairs are listed below:
- 1 x 68 = 68
- 2 x 34 = 68
- 4 x 17 = 68
We have also written a guide that goes into a little more detail about the factor pairs for 68 in case you are interested!
Just like before, we can also list out all of the negative factor pairs for 68:
- -1 x -68 = 68
- -2 x -34 = 68
- -4 x -17 = 68
Notice in the negative factor pairs that because we are multiplying a minus with a minus, the result is a positive number.
So there you have it. A complete guide to the factors of 68. 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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