# Factoring Calculator to find all Factors of a Number

By using our Factoring Calculator, you are able to be quickly provided with all the factors of any number which has been entered.

Simply enter which number you need to find the factor for and click on the "Calculate" button. Simple!

## Factoring Numbers

In math, Factoring is known as the process which used in order to find the number sets in which the products are the same as the number you are factoring. The number sets used are usually known as either factors or divisors of the original number.

Let's take 112 for example. If you are hoping to find out the divisors for the number 112, the number sets that would be applicable are as follows:

- (1, 112) given that 1 x 112 = 112
- (2, 56) given that 2 x 56 = 112
- (4, 28) given that 4 x 28 = 112
- (7, 16) given that 7 x 16 = 112
- (8, 14) given that 8 x 14 = 112

If we take the time to combine these divisors one list and proceed to arrange them an ascending form, the list of factors would be:

- 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Our calculator also determines the entered number's Prime Factors. For example, the prime factors of 112 consist of {2, 2, 2, 2, 7}

Factoring is an important skill when it comes to math. It is most commonly used in order to find the Greatest Common Number for multiple numbers. On top of that, it is commonly used for Prime Factorization, Fraction Simplifying, as well as expressions and various equations.

You may also be interested in our Greatest Common Divisor & Least Common Multiple Calculator