Factors of 105 in Pairs
So you need to find the factor pairs for 105 do you? Fear not! In this quick guide we'll describe what the factor pairs of 105 are, how you find them and list them out for you to prove the calculation works. Let's dive in!
What Are Factor Pairs?
A factor pair is a combination of two factors which can be multiplied together to equal 105. In proper math terms, the number 105 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 105 we need to first get all of the factors of 105. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 105 are 1, 3, 5, 7, 15, 21, 35, and 105.
List of Factor Pairs for 105
Okay, so we know all of the factors for 105 now and to work out the factor pairs we can go through that list and find all of the different combinations that can be used to multiply together to result in 105.
If there are a lot of factors then it might take you a little while to calculate all of the factor pairs, but luckily we have the power of computers and can calculate the factor pairs of 105 for you automatically:
- 1 x 105 = 105
- 3 x 35 = 105
- 5 x 21 = 105
- 7 x 15 = 105
- 15 x 7 = 105
- 21 x 5 = 105
- 35 x 3 = 105
- 105 x 1 = 105
So there you have it. A complete guide to the factor pairs of 105. Hopefully this will help you in your math class to learn (or teach) factor pairs in a way that is easy to understand.
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! ;)
Factor Pair Calculator
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