Q: What are the prime factors of the number 83,687,857?

 A: 11, 73, 89, 1171

Why are those the prime factors of the number 83,687,857?

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 83,687,857

83,687,857
Factor Arrows
117,607,987
Factor Arrows
73104,219
Factor Arrows
891,171

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:

11, 73, 89, 1171

We can check our work by multiplying all of the prime factors together: 11 x 73 x 89 x 1,171 = 83,687,857

This can also be written as 111 x 731 x 891 x 1,1711 = 83,687,857

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


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