Q: What are the prime factors of the number 232,110,297?

 A: 3, 673, 38321

Why are those the prime factors of the number 232,110,297?

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 232,110,297

232,110,297
Factor Arrows
377,370,099
Factor Arrows
325,790,033
Factor Arrows
67338,321

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, 673, 38321

We can check our work by multiplying all of the prime factors together: 3 x 3 x 673 x 38,321 = 232,110,297

This can also be written as 32 x 6731 x 38,3211 = 232,110,297

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


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