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# How can a factor tree help find the prime factors of a number?

Updated: 4/28/2022

Chickaloca

Lvl 1
11y ago

A factor tree is one way of notating the process of finding the prime factorization of a given number.

210

105,2

35,3,2

7,5,3,2

2 x 3 x 5 x 7 = 210

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Q: How can a factor tree help find the prime factors of a number?
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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. The largest of those numbers is the largest prime factor.

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