Q: What are the prime factors of the number 232,497?

 A: 3, 79, 109

Why are those the prime factors of the number 232,497?

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 232,497

232,497
Factor Arrows
377,499
Factor Arrows
325,833
Factor Arrows
38,611
Factor Arrows
79109

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, 79, 109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 79 x 109 = 232,497

This can also be written as 33 x 791 x 1091 = 232,497

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


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