Q: What are the prime factors of the number 316,170,615?

 A: 3, 5, 29, 43, 16903

Why are those the prime factors of the number 316,170,615?

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 316,170,615

316,170,615
Factor Arrows
3105,390,205
Factor Arrows
521,078,041
Factor Arrows
29726,829
Factor Arrows
4316,903

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, 5, 29, 43, 16903

We can check our work by multiplying all of the prime factors together: 3 x 5 x 29 x 43 x 16,903 = 316,170,615

This can also be written as 31 x 51 x 291 x 431 x 16,9031 = 316,170,615

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


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