Q: What are the prime factors of the number 18,524,979?

 A: 3, 11, 17011

Why are those the prime factors of the number 18,524,979?

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 18,524,979

18,524,979
Factor Arrows
36,174,993
Factor Arrows
32,058,331
Factor Arrows
11187,121
Factor Arrows
1117,011

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, 11, 17011

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 11 x 17,011 = 18,524,979

This can also be written as 32 x 112 x 17,0111 = 18,524,979

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


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