Q: What are the prime factors of the number 115,081,164?

 A: 2, 3, 11, 29, 911

Why are those the prime factors of the number 115,081,164?

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 115,081,164

115,081,164
Factor Arrows
257,540,582
Factor Arrows
228,770,291
Factor Arrows
39,590,097
Factor Arrows
33,196,699
Factor Arrows
11290,609
Factor Arrows
1126,419
Factor Arrows
29911

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, 11, 29, 911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 29 x 911 = 115,081,164

This can also be written as 22 x 32 x 112 x 291 x 9111 = 115,081,164

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


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