Q: What are the prime factors of the number 76,635,607?

 A: 19, 11173

Why are those the prime factors of the number 76,635,607?

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 76,635,607

76,635,607
Factor Arrows
194,033,453
Factor Arrows
19212,287
Factor Arrows
1911,173

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:

19, 11173

We can check our work by multiplying all of the prime factors together: 19 x 19 x 19 x 11,173 = 76,635,607

This can also be written as 193 x 11,1731 = 76,635,607

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


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