Q: What are the prime factors of the number 372,770,673?

 A: 3, 11, 59, 191459

Why are those the prime factors of the number 372,770,673?

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 372,770,673

372,770,673
Factor Arrows
3124,256,891
Factor Arrows
1111,296,081
Factor Arrows
59191,459

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, 59, 191459

We can check our work by multiplying all of the prime factors together: 3 x 11 x 59 x 191,459 = 372,770,673

This can also be written as 31 x 111 x 591 x 191,4591 = 372,770,673

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


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