Q: What are the prime factors of the number 322,551,538?

 A: 2, 199, 229, 3539

Why are those the prime factors of the number 322,551,538?

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 322,551,538

322,551,538
Factor Arrows
2161,275,769
Factor Arrows
199810,431
Factor Arrows
2293,539

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, 199, 229, 3539

We can check our work by multiplying all of the prime factors together: 2 x 199 x 229 x 3,539 = 322,551,538

This can also be written as 21 x 1991 x 2291 x 3,5391 = 322,551,538

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


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