Q: What are the prime factors of the number 316,115,019?

 A: 3, 11, 3193081

Why are those the prime factors of the number 316,115,019?

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 316,115,019

316,115,019
Factor Arrows
3105,371,673
Factor Arrows
335,123,891
Factor Arrows
113,193,081

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:

3, 11, 3193081

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 3,193,081 = 316,115,019

This can also be written as 32 x 111 x 3,193,0811 = 316,115,019

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


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