Factors and multiples are 2 related math terms. Factors are what we can multiply to get the number, while multiples are what we get after multiplying the number by an integer.

 

For example, in number 6, we can find 2 factors: 2 and 3, because 2 times 3 is 6. And we can also say that 6 is a multiple of 2, and a multiple of 3.

 

Factoring is the process of finding the factors. For example, to find the factors of number 54, we divide it by 9 and we get 6, then we divide 9 by 3 to get 3, and divide 6 by 3 to get 2. So we find that numbers 9, 6, 3, and 2 are all factors of 54.

 

A Prime number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1.

 

Prime Factorization is the process of finding all the prime factors of an integer. Here is a simple way. In the first diagram below, the prime factors of integer 891 is identified to be 3, 3, 3, 3, and 11.