What is the prime factorization tree?

Answer 1

A factor tree is a way to notate the process of finding the prime factorization of a given number. Example: 210.

210

105,2

35,3,2

7,5,3,2

2 x 3 x 5 x 7 = 210

Answer 2

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.

Example: 210

210 Divide by two.

105,2 Divide by three.

35,3,2 Divide by five.

7,5,3,2 Stop. All the factors are prime.

2 x 3 x 5 x 7 = 210

That's the prime factorization of 210.