Q: What are the prime factors of the number 236,580?

 A: 2, 3, 5, 3943

Why are those the prime factors of the number 236,580?

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 236,580

236,580
Factor Arrows
2118,290
Factor Arrows
259,145
Factor Arrows
319,715
Factor Arrows
53,943

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, 5, 3943

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 3,943 = 236,580

This can also be written as 22 x 31 x 51 x 3,9431 = 236,580

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


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