Q: What are the prime factors of the number 520,863?

 A: 3, 7, 17, 1459

Why are those the prime factors of the number 520,863?

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 520,863

520,863
Factor Arrows
3173,621
Factor Arrows
724,803
Factor Arrows
171,459

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, 7, 17, 1459

We can check our work by multiplying all of the prime factors together: 3 x 7 x 17 x 1,459 = 520,863

This can also be written as 31 x 71 x 171 x 1,4591 = 520,863

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


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