Q: What are the prime factors of the number 322,160,139?

 A: 3, 7, 1704551

Why are those the prime factors of the number 322,160,139?

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 322,160,139

322,160,139
Factor Arrows
3107,386,713
Factor Arrows
335,795,571
Factor Arrows
311,931,857
Factor Arrows
71,704,551

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:

3, 7, 1704551

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 1,704,551 = 322,160,139

This can also be written as 33 x 71 x 1,704,5511 = 322,160,139

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


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