Q: What are the prime factors of the number 76,662,519?

 A: 3, 23, 167, 6653

Why are those the prime factors of the number 76,662,519?

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 76,662,519

76,662,519
Factor Arrows
325,554,173
Factor Arrows
231,111,051
Factor Arrows
1676,653

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, 23, 167, 6653

We can check our work by multiplying all of the prime factors together: 3 x 23 x 167 x 6,653 = 76,662,519

This can also be written as 31 x 231 x 1671 x 6,6531 = 76,662,519

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


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