Q: What are the prime factors of the number 358,180?

 A: 2, 5, 17909

Why are those the prime factors of the number 358,180?

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 358,180

358,180
Factor Arrows
2179,090
Factor Arrows
289,545
Factor Arrows
517,909

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, 17909

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17,909 = 358,180

This can also be written as 22 x 51 x 17,9091 = 358,180

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


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