Q: What are the prime factors of the number 233,040,123?

 A: 3, 719, 36013

Why are those the prime factors of the number 233,040,123?

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 233,040,123

233,040,123
Factor Arrows
377,680,041
Factor Arrows
325,893,347
Factor Arrows
71936,013

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, 719, 36013

We can check our work by multiplying all of the prime factors together: 3 x 3 x 719 x 36,013 = 233,040,123

This can also be written as 32 x 7191 x 36,0131 = 233,040,123

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


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