Q: What are the prime factors of the number 63,989,757?

 A: 3, 13, 67, 907

Why are those the prime factors of the number 63,989,757?

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 63,989,757

63,989,757
Factor Arrows
321,329,919
Factor Arrows
37,109,973
Factor Arrows
32,369,991
Factor Arrows
3789,997
Factor Arrows
1360,769
Factor Arrows
67907

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:

3, 13, 67, 907

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 13 x 67 x 907 = 63,989,757

This can also be written as 34 x 131 x 671 x 9071 = 63,989,757

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


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