Phyopedia

Factor tree

A factor tree is a way to find a number's prime factorization. Write the number at the top, split it into any factor pair, then split each part again, until every number left is prime.

The primes at the bottom are the factorization. 60 splits into 6 × 10, then 2 × 3 and 2 × 5, giving 60 = 2 × 2 × 3 × 5. The order of splitting does not matter: the primes at the leaves are always the same.