Q: What are the prime factors of the number 18,311,625?

 A: 3, 5, 41, 397

Why are those the prime factors of the number 18,311,625?

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 18,311,625

18,311,625
Factor Arrows
36,103,875
Factor Arrows
32,034,625
Factor Arrows
5406,925
Factor Arrows
581,385
Factor Arrows
516,277
Factor Arrows
41397

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, 41, 397

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 5 x 41 x 397 = 18,311,625

This can also be written as 32 x 53 x 411 x 3971 = 18,311,625

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


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