Q: What are the prime factors of the number 80,707,851?

 A: 3, 7, 23, 73, 109

Why are those the prime factors of the number 80,707,851?

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 80,707,851

80,707,851
Factor Arrows
326,902,617
Factor Arrows
38,967,539
Factor Arrows
71,281,077
Factor Arrows
7183,011
Factor Arrows
237,957
Factor Arrows
73109

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, 7, 23, 73, 109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 23 x 73 x 109 = 80,707,851

This can also be written as 32 x 72 x 231 x 731 x 1091 = 80,707,851

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


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