Factor Definition with Examples

In mathematics, a factor is a number that divides into another number exactly with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these numbers all divide into 12 exactly with no remainder.

Here are some more examples:

The factors of 15 are 1, 3, 5, and 15.

The factors of 20 are 1, 2, 4, 5, 10, and 20.

The factors of 18 are 1, 2, 3, 6, 9, and 18.

Factors are used in a variety of mathematical operations and can be used to simplify equations or to solve problems. For example, if you need to find the greatest common factor (GCF) of two numbers, you can list out the factors of each number and then find the largest number that is a factor of both. For example, to find the GCF of 18 and 24, you can list the factors of each number as follows:

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The GCF of 18 and 24 is 6, because it is the largest number that is a factor of both 18 and 24.

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