Q: What are the prime factors of the number 76,051,665?

 A: 3, 5, 173, 9769

Why are those the prime factors of the number 76,051,665?

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 76,051,665

76,051,665
Factor Arrows
325,350,555
Factor Arrows
38,450,185
Factor Arrows
51,690,037
Factor Arrows
1739,769

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, 5, 173, 9769

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 173 x 9,769 = 76,051,665

This can also be written as 32 x 51 x 1731 x 9,7691 = 76,051,665

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


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