Q: What are the prime factors of the number 63,876,302?

 A: 2, 7, 83, 7853

Why are those the prime factors of the number 63,876,302?

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 63,876,302

63,876,302
Factor Arrows
231,938,151
Factor Arrows
74,562,593
Factor Arrows
7651,799
Factor Arrows
837,853

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, 7, 83, 7853

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 83 x 7,853 = 63,876,302

This can also be written as 21 x 72 x 831 x 7,8531 = 63,876,302

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


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