Q: What are the prime factors of the number 233,023,623?

 A: 3, 7, 41, 241, 1123

Why are those the prime factors of the number 233,023,623?

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 233,023,623

233,023,623
Factor Arrows
377,674,541
Factor Arrows
711,096,363
Factor Arrows
41270,643
Factor Arrows
2411,123

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, 7, 41, 241, 1123

We can check our work by multiplying all of the prime factors together: 3 x 7 x 41 x 241 x 1,123 = 233,023,623

This can also be written as 31 x 71 x 411 x 2411 x 1,1231 = 233,023,623

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


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