Q: What are the prime factors of the number 88,077?

 A: 3, 11, 17, 157

Why are those the prime factors of the number 88,077?

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 88,077

88,077
Factor Arrows
329,359
Factor Arrows
112,669
Factor Arrows
17157

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, 11, 17, 157

We can check our work by multiplying all of the prime factors together: 3 x 11 x 17 x 157 = 88,077

This can also be written as 31 x 111 x 171 x 1571 = 88,077

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


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