Q: What are the prime factors of the number 63,125,730?

 A: 2, 3, 5, 77933

Why are those the prime factors of the number 63,125,730?

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 63,125,730

63,125,730
Factor Arrows
231,562,865
Factor Arrows
310,520,955
Factor Arrows
33,506,985
Factor Arrows
31,168,995
Factor Arrows
3389,665
Factor Arrows
577,933

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, 5, 77933

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 77,933 = 63,125,730

This can also be written as 21 x 34 x 51 x 77,9331 = 63,125,730

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


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