Q: What are the prime factors of the number 63,616,208?

 A: 2, 107, 37159

Why are those the prime factors of the number 63,616,208?

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 63,616,208

63,616,208
Factor Arrows
231,808,104
Factor Arrows
215,904,052
Factor Arrows
27,952,026
Factor Arrows
23,976,013
Factor Arrows
10737,159

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, 107, 37159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 107 x 37,159 = 63,616,208

This can also be written as 24 x 1071 x 37,1591 = 63,616,208

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


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