Q: What are the prime factors of the number 391,617?

 A: 3, 53, 821

Why are those the prime factors of the number 391,617?

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 391,617

391,617
Factor Arrows
3130,539
Factor Arrows
343,513
Factor Arrows
53821

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, 53, 821

We can check our work by multiplying all of the prime factors together: 3 x 3 x 53 x 821 = 391,617

This can also be written as 32 x 531 x 8211 = 391,617

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


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