Q: What are the prime factors of the number 307,932?

 A: 2, 3, 67, 383

Why are those the prime factors of the number 307,932?

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 307,932

307,932
Factor Arrows
2153,966
Factor Arrows
276,983
Factor Arrows
325,661
Factor Arrows
67383

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, 67, 383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 67 x 383 = 307,932

This can also be written as 22 x 31 x 671 x 3831 = 307,932

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


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