Q: What are the prime factors of the number 63,064,332?

 A: 2, 3, 89

Why are those the prime factors of the number 63,064,332?

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 63,064,332

63,064,332
Factor Arrows
231,532,166
Factor Arrows
215,766,083
Factor Arrows
35,255,361
Factor Arrows
31,751,787
Factor Arrows
3583,929
Factor Arrows
3194,643
Factor Arrows
364,881
Factor Arrows
321,627
Factor Arrows
37,209
Factor Arrows
32,403
Factor Arrows
3801
Factor Arrows
3267
Factor Arrows
389

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, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 89 = 63,064,332

This can also be written as 22 x 311 x 891 = 63,064,332

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


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