Q: What are the prime factors of the number 237,222?

 A: 2, 3, 23, 191

Why are those the prime factors of the number 237,222?

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 237,222

237,222
Factor Arrows
2118,611
Factor Arrows
339,537
Factor Arrows
313,179
Factor Arrows
34,393
Factor Arrows
23191

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, 23, 191

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 23 x 191 = 237,222

This can also be written as 21 x 33 x 231 x 1911 = 237,222

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


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