Q: What are the prime factors of the number 63,626,072?

 A: 2, 59, 163, 827

Why are those the prime factors of the number 63,626,072?

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 63,626,072

63,626,072
Factor Arrows
231,813,036
Factor Arrows
215,906,518
Factor Arrows
27,953,259
Factor Arrows
59134,801
Factor Arrows
163827

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, 163, 827

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 59 x 163 x 827 = 63,626,072

This can also be written as 23 x 591 x 1631 x 8271 = 63,626,072

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


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