Q: What are the prime factors of the number 237,186?

 A: 2, 3, 13177

Why are those the prime factors of the number 237,186?

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 237,186

237,186
Factor Arrows
2118,593
Factor Arrows
339,531
Factor Arrows
313,177

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, 13177

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13,177 = 237,186

This can also be written as 21 x 32 x 13,1771 = 237,186

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


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