Q: What are the prime factors of the number 99,664?

 A: 2, 6229

Why are those the prime factors of the number 99,664?

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 99,664

99,664
Factor Arrows
249,832
Factor Arrows
224,916
Factor Arrows
212,458
Factor Arrows
26,229

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, 6229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 6,229 = 99,664

This can also be written as 24 x 6,2291 = 99,664

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


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