Q: What are the prime factors of the number 63,363,672?

 A: 2, 3, 173, 5087

Why are those the prime factors of the number 63,363,672?

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 63,363,672

63,363,672
Factor Arrows
231,681,836
Factor Arrows
215,840,918
Factor Arrows
27,920,459
Factor Arrows
32,640,153
Factor Arrows
3880,051
Factor Arrows
1735,087

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, 173, 5087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 173 x 5,087 = 63,363,672

This can also be written as 23 x 32 x 1731 x 5,0871 = 63,363,672

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


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