# What is factoring in math? Definition and examples

Factoring, also called factorization, is the process of rewriting a number, a numerical expression, an algebraic expression, or any other math expression as the product of its factors.

## Examples of factoring in math

**1.** The number 48 can be factored or written as the product of 8 and 6

48 = 8 × 6

**2.** The numerical expression 48 + 24 can be factored or written as the product of 4 and (12 + 6)

48 + 24 = 4 × (12 + 6) = 4 × 18

**3.** The algebraic expression 4x^{2} + 20x can be factored or written as the product of 4x and (x + 5)

4x^{2} + 20x = 4x(x + 5)

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