Q: What are the prime factors of the number 80,256,659?

 A: 7, 29, 56479

Why are those the prime factors of the number 80,256,659?

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 80,256,659

80,256,659
Factor Arrows
711,465,237
Factor Arrows
71,637,891
Factor Arrows
2956,479

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:

7, 29, 56479

We can check our work by multiplying all of the prime factors together: 7 x 7 x 29 x 56,479 = 80,256,659

This can also be written as 72 x 291 x 56,4791 = 80,256,659

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


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