Q: What are the prime factors of the number 18,013,455?

 A: 3, 5, 17, 47, 167

Why are those the prime factors of the number 18,013,455?

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 18,013,455

18,013,455
Factor Arrows
36,004,485
Factor Arrows
32,001,495
Factor Arrows
3667,165
Factor Arrows
5133,433
Factor Arrows
177,849
Factor Arrows
47167

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, 5, 17, 47, 167

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 17 x 47 x 167 = 18,013,455

This can also be written as 33 x 51 x 171 x 471 x 1671 = 18,013,455

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


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