Q: What are the prime factors of the number 63,810?

 A: 2, 3, 5, 709

Why are those the prime factors of the number 63,810?

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 63,810

63,810
Factor Arrows
231,905
Factor Arrows
310,635
Factor Arrows
33,545
Factor Arrows
5709

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, 5, 709

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 709 = 63,810

This can also be written as 21 x 32 x 51 x 7091 = 63,810

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


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