Q: What are the prime factors of the number 522,715,020?

 A: 2, 3, 5, 23, 378779

Why are those the prime factors of the number 522,715,020?

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 522,715,020

522,715,020
Factor Arrows
2261,357,510
Factor Arrows
2130,678,755
Factor Arrows
343,559,585
Factor Arrows
58,711,917
Factor Arrows
23378,779

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, 23, 378779

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 23 x 378,779 = 522,715,020

This can also be written as 22 x 31 x 51 x 231 x 378,7791 = 522,715,020

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


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