Q: What are the prime factors of the number 115,035,096?

 A: 2, 3, 11, 435739

Why are those the prime factors of the number 115,035,096?

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 115,035,096

115,035,096
Factor Arrows
257,517,548
Factor Arrows
228,758,774
Factor Arrows
214,379,387
Factor Arrows
34,793,129
Factor Arrows
11435,739

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, 435739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 435,739 = 115,035,096

This can also be written as 23 x 31 x 111 x 435,7391 = 115,035,096

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


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