Q: What are the prime factors of the number 60,165,632?

 A: 2, 117511

Why are those the prime factors of the number 60,165,632?

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 60,165,632

60,165,632
Factor Arrows
230,082,816
Factor Arrows
215,041,408
Factor Arrows
27,520,704
Factor Arrows
23,760,352
Factor Arrows
21,880,176
Factor Arrows
2940,088
Factor Arrows
2470,044
Factor Arrows
2235,022
Factor Arrows
2117,511

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, 117511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 117,511 = 60,165,632

This can also be written as 29 x 117,5111 = 60,165,632

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


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