Q: What are the prime factors of the number 18,066,665?

 A: 5, 17, 43, 4943

Why are those the prime factors of the number 18,066,665?

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 18,066,665

18,066,665
Factor Arrows
53,613,333
Factor Arrows
17212,549
Factor Arrows
434,943

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:

5, 17, 43, 4943

We can check our work by multiplying all of the prime factors together: 5 x 17 x 43 x 4,943 = 18,066,665

This can also be written as 51 x 171 x 431 x 4,9431 = 18,066,665

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


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