Q: What are the prime factors of the number 115,502,660?

 A: 2, 5, 7, 13, 63463

Why are those the prime factors of the number 115,502,660?

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 115,502,660

115,502,660
Factor Arrows
257,751,330
Factor Arrows
228,875,665
Factor Arrows
55,775,133
Factor Arrows
7825,019
Factor Arrows
1363,463

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, 5, 7, 13, 63463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 13 x 63,463 = 115,502,660

This can also be written as 22 x 51 x 71 x 131 x 63,4631 = 115,502,660

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


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