Q: What are the prime factors of the number 63,707,184?

 A: 2, 3, 47, 9413

Why are those the prime factors of the number 63,707,184?

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 63,707,184

63,707,184
Factor Arrows
231,853,592
Factor Arrows
215,926,796
Factor Arrows
27,963,398
Factor Arrows
23,981,699
Factor Arrows
31,327,233
Factor Arrows
3442,411
Factor Arrows
479,413

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, 47, 9413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 47 x 9,413 = 63,707,184

This can also be written as 24 x 32 x 471 x 9,4131 = 63,707,184

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


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