Factor definition in math explained

Learn what are the factors of a number and factor definition in mathematics. Do you know based on factors only we are defining what is a prime number. In some other important concepts also we should know the meaning of a factor to understand the particular concepts very well.

Factor definition in math explained

Actually Factor definition we can give in two ways. Learn both the definitions which gives clear idea about the factor. Now we will define definition of a factor one by one with examples.

Definition of factor given as below:

If a number “e” divides the another number “f” exactly, then the number “e” is called as a factor of “f”. Another definition for factor is “if a number is written as the product of some other numbers then each number in the product is called as a factor.


The number “6” is factor of “18” because 6 divides 18 exactly.

The number 15, is written as the product of 3 and 5. So here each number is called as a factor of 15.

Now we will take some numbers and list out the factors of that number.

The factors of the number 14 are 1, 2, 7 and 14. Similarly the factors of 12 are 1, 2, 3, 4, 6 and 12.

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