Q: What are the prime factors of the number 63,728,024?

 A: 2, 59, 135017

Why are those the prime factors of the number 63,728,024?

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 63,728,024

63,728,024
Factor Arrows
231,864,012
Factor Arrows
215,932,006
Factor Arrows
27,966,003
Factor Arrows
59135,017

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, 59, 135017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 59 x 135,017 = 63,728,024

This can also be written as 23 x 591 x 135,0171 = 63,728,024

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


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