Q: What are the prime factors of the number 522,321,252?

 A: 2, 3, 43526771

Why are those the prime factors of the number 522,321,252?

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 522,321,252

522,321,252
Factor Arrows
2261,160,626
Factor Arrows
2130,580,313
Factor Arrows
343,526,771

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, 43526771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43,526,771 = 522,321,252

This can also be written as 22 x 31 x 43,526,7711 = 522,321,252

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


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