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Factoring and Multiples
Prime Numbers

What is the prime factorization of 180?

Answer

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January 12, 2017 5:03AM

The prime factorization of 180 is 2 x 2 x 3 x 3 x 5. It can be expressed in exponential form as 2^2 x 3^2 x 5

To find the prime factorization of a number, start with any of its factor pairs and keep factoring the composite factors until all factors are prime.

180:

2 x 90

2 x 2 x 45

2 x 2 x 3 x 15

2 x 2 x 3 x 3 x 5 = 180

22 x 32 x 5 = 180
The prime factorization of 180 is 2x2x3x3x5
2x2x3x3x5

180 = 18 x 10

18 = 3x6 = 3x3x2

10 = 2x5