Q: What are the prime factors of the number 237,789?

 A: 3, 8807

Why are those the prime factors of the number 237,789?

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 237,789

237,789
Factor Arrows
379,263
Factor Arrows
326,421
Factor Arrows
38,807

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, 8807

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 8,807 = 237,789

This can also be written as 33 x 8,8071 = 237,789

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


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