Q: What are the prime factors of the number 115,110,016?

 A: 2, 7, 18353

Why are those the prime factors of the number 115,110,016?

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 115,110,016

115,110,016
Factor Arrows
257,555,008
Factor Arrows
228,777,504
Factor Arrows
214,388,752
Factor Arrows
27,194,376
Factor Arrows
23,597,188
Factor Arrows
21,798,594
Factor Arrows
2899,297
Factor Arrows
7128,471
Factor Arrows
718,353

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, 7, 18353

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 7 x 7 x 18,353 = 115,110,016

This can also be written as 27 x 72 x 18,3531 = 115,110,016

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


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