Q: What are the prime factors of the number 18,233,199?

 A: 3, 29, 69859

Why are those the prime factors of the number 18,233,199?

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 18,233,199

18,233,199
Factor Arrows
36,077,733
Factor Arrows
32,025,911
Factor Arrows
2969,859

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, 29, 69859

We can check our work by multiplying all of the prime factors together: 3 x 3 x 29 x 69,859 = 18,233,199

This can also be written as 32 x 291 x 69,8591 = 18,233,199

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


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