Q: What are the prime factors of the number 84,715,659?

 A: 3, 7, 64033

Why are those the prime factors of the number 84,715,659?

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 84,715,659

84,715,659
Factor Arrows
328,238,553
Factor Arrows
39,412,851
Factor Arrows
33,137,617
Factor Arrows
7448,231
Factor Arrows
764,033

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, 7, 64033

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 7 x 64,033 = 84,715,659

This can also be written as 33 x 72 x 64,0331 = 84,715,659

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


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