Become math lovers!

A factor tree is a diagram showing the factors of a composite number. The tree is complete when all factors shown towards the bottom of the tree are prime numbers only.

The factor tree for the number 96 is shown below.

A factor tree can help you find the prime factorization of a number.

The prime factorization of 72 is 3 × 2 × 2 × 2 × 2 × 2

Notice that a number may have different factor trees with different ways of looking for the factors. The factor tree below shows a different way of finding the factors.