Q: What are the prime factors of the number 63,166,016?

 A: 2, 17, 58057

Why are those the prime factors of the number 63,166,016?

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 63,166,016

63,166,016
Factor Arrows
231,583,008
Factor Arrows
215,791,504
Factor Arrows
27,895,752
Factor Arrows
23,947,876
Factor Arrows
21,973,938
Factor Arrows
2986,969
Factor Arrows
1758,057

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, 17, 58057

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 17 x 58,057 = 63,166,016

This can also be written as 26 x 171 x 58,0571 = 63,166,016

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


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