Q: What are the prime factors of the number 322,151,528?

 A: 2, 43, 936487

Why are those the prime factors of the number 322,151,528?

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 322,151,528

322,151,528
Factor Arrows
2161,075,764
Factor Arrows
280,537,882
Factor Arrows
240,268,941
Factor Arrows
43936,487

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, 43, 936487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 43 x 936,487 = 322,151,528

This can also be written as 23 x 431 x 936,4871 = 322,151,528

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


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