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Q: What is the prime factorization of 27 using a factor tree?

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The prime factorization.

by using a prime factor tree

2x2x222

Multiples of 54

8

It is: 3*17 = 51

A factor tree is a way to notate the process of finding the prime factorization. If completed successfully, the bottom row (branch) will display the prime factorization of the number you started with.

It is: 22*32*7 = 252

2*5*13 = 130

They are: 5*5*7 = 175

51 3,17

49 7,7

As a product of its prime factors: 7*7*13 = 637

As a product of its prime factors: 3*3*7 = 63

The factor tree will show you the prime factorization. You still need to compare that to another number to get a GCF.

That's a lot of extra work for this problem but here goes. 3 is already prime so it doesn't really have a factor tree or prime factorization. The prime factorization of 4 is 2 x 2 which looks like this in a factor tree.42,23 and 4 have no common prime factors, so the LCM is their product, 12

If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.

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.

352 prime factorization tree

97 is already prime; no tree required.

23 is a prime number. No prime factorization. No tree.

there is NO factor tree (prime factorization) of 29.

As a product of its prime factors: 2*2*2*3*5 = 120

2*2*2*2*2*2

It is: 5*5*5 = 125 or as 53 = 125