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Q: What is the prime factorization of 36 in a factor tree?

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36 according to the factor tree

Use a factor tree. 36 18,2 9,2,2 3,3,2,2

Not really. A factor string is a multiplication sentence. A factor tree is a way of notating the process of finding the prime factorization of a given number. End result: 4 x 9 can be a factor string for 36, but can't be a prime factorization. The prime factorization of 36 is 2 x 2 x 3 x 3.

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

36 18,2 9,2,2 3,3,2,2

36 18,2 9,2,2 3,3,2,2

A factor tree of 36 is 36 9,4 3,3,2,2 The prime factorization is 2 x 2 x 3 x 3 which in exponential form is 2^2 x 3^2.

36 18,2 9,2,2 3,3,2,2 2 x 2 x 3 x 3 = 36

36 18,2 9,2,2 3,3,2,2 2 x 2 x 3 x 3 = 36

As a product of its prime factors: 2*2*3*3 = 36

Since 36 is a factor of 72, it will have everything in common with it.

= 2x2x3x3 or = 22X 32

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