Q: What are the prime factors of the number 372,933?

 A: 3, 11, 3767

Why are those the prime factors of the number 372,933?

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 372,933

372,933
Factor Arrows
3124,311
Factor Arrows
341,437
Factor Arrows
113,767

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, 11, 3767

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 3,767 = 372,933

This can also be written as 32 x 111 x 3,7671 = 372,933

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


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