Q: What are the prime factors of the number 109,656?

 A: 2, 3, 1523

Why are those the prime factors of the number 109,656?

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 109,656

109,656
Factor Arrows
254,828
Factor Arrows
227,414
Factor Arrows
213,707
Factor Arrows
34,569
Factor Arrows
31,523

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, 1523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 1,523 = 109,656

This can also be written as 23 x 32 x 1,5231 = 109,656

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


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