Q: What are the prime factors of the number 91,716?

 A: 2, 3, 7643

Why are those the prime factors of the number 91,716?

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 91,716

91,716
Factor Arrows
245,858
Factor Arrows
222,929
Factor Arrows
37,643

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:

2, 3, 7643

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7,643 = 91,716

This can also be written as 22 x 31 x 7,6431 = 91,716

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


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