Q: What are the prime factors of the number 63,328,832?

 A: 2, 7, 141359

Why are those the prime factors of the number 63,328,832?

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 63,328,832

63,328,832
Factor Arrows
231,664,416
Factor Arrows
215,832,208
Factor Arrows
27,916,104
Factor Arrows
23,958,052
Factor Arrows
21,979,026
Factor Arrows
2989,513
Factor Arrows
7141,359

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, 7, 141359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 141,359 = 63,328,832

This can also be written as 26 x 71 x 141,3591 = 63,328,832

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


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