Q: What are the prime factors of the number 23,117,427?

 A: 3, 113, 7577

Why are those the prime factors of the number 23,117,427?

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 23,117,427

23,117,427
Factor Arrows
37,705,809
Factor Arrows
32,568,603
Factor Arrows
3856,201
Factor Arrows
1137,577

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, 113, 7577

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 113 x 7,577 = 23,117,427

This can also be written as 33 x 1131 x 7,5771 = 23,117,427

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


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