Q: What are the prime factors of the number 160,032,132?

 A: 2, 3, 13, 113983

Why are those the prime factors of the number 160,032,132?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 160,032,132

160,032,132
Factor Arrows
280,016,066
Factor Arrows
240,008,033
Factor Arrows
313,336,011
Factor Arrows
34,445,337
Factor Arrows
31,481,779
Factor Arrows
13113,983

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 113983

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 113,983 = 160,032,132

This can also be written as 22 x 33 x 131 x 113,9831 = 160,032,132

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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