Q: What are the prime factors of the number 63,480,807?

 A: 3, 13, 83, 2179

Why are those the prime factors of the number 63,480,807?

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 63,480,807

63,480,807
Factor Arrows
321,160,269
Factor Arrows
37,053,423
Factor Arrows
32,351,141
Factor Arrows
13180,857
Factor Arrows
832,179

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, 83, 2179

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 83 x 2,179 = 63,480,807

This can also be written as 33 x 131 x 831 x 2,1791 = 63,480,807

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


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