Q: What are the prime factors of the number 63,162,336?

 A: 2, 3, 83, 7927

Why are those the prime factors of the number 63,162,336?

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 63,162,336

63,162,336
Factor Arrows
231,581,168
Factor Arrows
215,790,584
Factor Arrows
27,895,292
Factor Arrows
23,947,646
Factor Arrows
21,973,823
Factor Arrows
3657,941
Factor Arrows
837,927

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, 83, 7927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 83 x 7,927 = 63,162,336

This can also be written as 25 x 31 x 831 x 7,9271 = 63,162,336

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


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