Q: What are the prime factors of the number 118,660?

 A: 2, 5, 17, 349

Why are those the prime factors of the number 118,660?

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 118,660

118,660
Factor Arrows
259,330
Factor Arrows
229,665
Factor Arrows
55,933
Factor Arrows
17349

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, 5, 17, 349

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 349 = 118,660

This can also be written as 22 x 51 x 171 x 3491 = 118,660

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


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