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Q: What is the prime factor tree of 312?

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83 is prime. No tree.

They share one prime factor: 2

83 is a prime number and doesn't have a factor tree since its only prime factor is itself.

The prime factor tree of 280 is: 140,2 70,2,2 35,2,2,2 7,5,2,2,2

19 is already prime. No need for a tree.19 is prime. No tree.

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312 156,2 78,2,2 39,2,2,2 13,3,2,2,2

312 156,2 78,2,2 39,2,2,2 13,3,2,2,2

The prime factors of 312 are 2, 3 and 13.

312 156,2 78,2,2 39,2,2,2 13,3,2,2,2

83 is prime. No tree.

312 156,2 78,2,2 39,2,2,2 13,3,2,2,2

IT IS PRIME there is no factor tree

They share one prime factor: 2

The purpose of a factor tree is to notate the process of finding the prime factorization. If a number is already prime, a factor tree is not necessary.

To find the prime factors of 312 start with any factor pair of 312 and keep factoring the composite numbers until all factors are prime. 312 2 x 156 2 x 2 x 78 2 x 2 x 2 x 39 2 x 2 x 2 x 3 x 13 A number of a prime factor of 312 is 2, 3, or 13.

83 is a prime number and doesn't have a factor tree since its only prime factor is itself.

Prime Factor Tree: ........452 ........./ \ .......4 113 ....../ \ ....2...2

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