Q: What are the prime factors of the number 86,551,283?

 A: 7, 13, 29, 32797

Why are those the prime factors of the number 86,551,283?

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 86,551,283

86,551,283
Factor Arrows
712,364,469
Factor Arrows
13951,113
Factor Arrows
2932,797

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, 13, 29, 32797

We can check our work by multiplying all of the prime factors together: 7 x 13 x 29 x 32,797 = 86,551,283

This can also be written as 71 x 131 x 291 x 32,7971 = 86,551,283

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


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