Q: What are the prime factors of the number 18,514,839?

 A: 3, 7, 23, 38333

Why are those the prime factors of the number 18,514,839?

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 18,514,839

18,514,839
Factor Arrows
36,171,613
Factor Arrows
7881,659
Factor Arrows
2338,333

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, 23, 38333

We can check our work by multiplying all of the prime factors together: 3 x 7 x 23 x 38,333 = 18,514,839

This can also be written as 31 x 71 x 231 x 38,3331 = 18,514,839

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


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