Q: What are the prime factors of the number 93,664?

 A: 2, 2927

Why are those the prime factors of the number 93,664?

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 93,664

93,664
Factor Arrows
246,832
Factor Arrows
223,416
Factor Arrows
211,708
Factor Arrows
25,854
Factor Arrows
22,927

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, 2927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,927 = 93,664

This can also be written as 25 x 2,9271 = 93,664

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


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