Q: What are the prime factors of the number 107,580?

 A: 2, 3, 5, 11, 163

Why are those the prime factors of the number 107,580?

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 107,580

107,580
Factor Arrows
253,790
Factor Arrows
226,895
Factor Arrows
38,965
Factor Arrows
51,793
Factor Arrows
11163

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, 5, 11, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 163 = 107,580

This can also be written as 22 x 31 x 51 x 111 x 1631 = 107,580

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


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