Factors and Multiples


A factor is an integer (a whole number) that will divide exactly into another number. For example, 12 is a factor of 36 because 12 will divide into 36 exactly 3 times without any remainders. 9 is not a factor of 20 as it does not divide into 20 exactly, it leaves a remainder of 2.


A multiple of a number is any integer multiplied by the number. For example, 15 is a multiple of 5 because 

Listing multiples of 5 gives 5, 10, 15, 20, 25 and so on

There are an infinite amount of multiples of any given number.

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