Q: What are the prime factors of the number 76,340,457?

 A: 3, 179, 47387

Why are those the prime factors of the number 76,340,457?

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 76,340,457

76,340,457
Factor Arrows
325,446,819
Factor Arrows
38,482,273
Factor Arrows
17947,387

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, 179, 47387

We can check our work by multiplying all of the prime factors together: 3 x 3 x 179 x 47,387 = 76,340,457

This can also be written as 32 x 1791 x 47,3871 = 76,340,457

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


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