Prime Factors and Prime Factorization - Cycle 2

| Mathematics

What is a prime factor?

Definition

A prime factor is a factor that is a prime number.

To find out what a factor is, read the concept sheet Multiplying Numbers.

Example:

Multiplication example where a factor is a prime number.

What is prime factorization?

Definition

Prime factorization is decomposing a natural number greater than 1 into a multiplication equation whose factors are all prime numbers.

You obtain the prime factorization of a number once the number is decomposed into a multiplication equation whose factors are all prime numbers.

Example

2 × 2 × 2 × 2 × 3 = 48

2 × 2 × 2 × 2 × 3 is the prime factorization of the number 48. Each factor in the multiplication equation is a prime number and the product is 48.

How to find the prime factorization of a number

You can find the prime factorization of a number by using a factor tree.

To find out how, read the concept sheet The Factor Tree.