Q: What are the prime factors of the number 84,775,014?

 A: 2, 3, 4709723

Why are those the prime factors of the number 84,775,014?

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 84,775,014

84,775,014
Factor Arrows
242,387,507
Factor Arrows
314,129,169
Factor Arrows
34,709,723

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, 4709723

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 4,709,723 = 84,775,014

This can also be written as 21 x 32 x 4,709,7231 = 84,775,014

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


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