Q: What are the prime factors of the number 18,391,941?

 A: 3, 25229

Why are those the prime factors of the number 18,391,941?

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 18,391,941

18,391,941
Factor Arrows
36,130,647
Factor Arrows
32,043,549
Factor Arrows
3681,183
Factor Arrows
3227,061
Factor Arrows
375,687
Factor Arrows
325,229

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, 25229

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 25,229 = 18,391,941

This can also be written as 36 x 25,2291 = 18,391,941

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,391,941:


Ask a Question