Q: What are the prime factors of the number 18,116,730?

 A: 2, 3, 5, 17, 3947

Why are those the prime factors of the number 18,116,730?

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 18,116,730

18,116,730
Factor Arrows
29,058,365
Factor Arrows
33,019,455
Factor Arrows
31,006,485
Factor Arrows
3335,495
Factor Arrows
567,099
Factor Arrows
173,947

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, 17, 3947

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 17 x 3,947 = 18,116,730

This can also be written as 21 x 33 x 51 x 171 x 3,9471 = 18,116,730

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


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