Q: What are the prime factors of the number 322,532,520?

 A: 2, 3, 5, 2687771

Why are those the prime factors of the number 322,532,520?

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 322,532,520

322,532,520
Factor Arrows
2161,266,260
Factor Arrows
280,633,130
Factor Arrows
240,316,565
Factor Arrows
313,438,855
Factor Arrows
52,687,771

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, 5, 2687771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 2,687,771 = 322,532,520

This can also be written as 23 x 31 x 51 x 2,687,7711 = 322,532,520

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


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