Q: What are the prime factors of the number 373,185?

 A: 3, 5, 8293

Why are those the prime factors of the number 373,185?

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 373,185

373,185
Factor Arrows
3124,395
Factor Arrows
341,465
Factor Arrows
58,293

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:

3, 5, 8293

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 8,293 = 373,185

This can also be written as 32 x 51 x 8,2931 = 373,185

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


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