Q: What are the prime factors of the number 18,414,180?

 A: 2, 3, 5, 102301

Why are those the prime factors of the number 18,414,180?

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 18,414,180

18,414,180
Factor Arrows
29,207,090
Factor Arrows
24,603,545
Factor Arrows
31,534,515
Factor Arrows
3511,505
Factor Arrows
5102,301

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:

2, 3, 5, 102301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 102,301 = 18,414,180

This can also be written as 22 x 32 x 51 x 102,3011 = 18,414,180

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


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