Q: What are the prime factors of the number 115,135,764?

 A: 2, 3, 17, 564391

Why are those the prime factors of the number 115,135,764?

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 115,135,764

115,135,764
Factor Arrows
257,567,882
Factor Arrows
228,783,941
Factor Arrows
39,594,647
Factor Arrows
17564,391

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, 17, 564391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 564,391 = 115,135,764

This can also be written as 22 x 31 x 171 x 564,3911 = 115,135,764

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


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