Q: What are the prime factors of the number 18,225?

 A: 3, 5

Why are those the prime factors of the number 18,225?

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 18,225

18,225
Factor Arrows
36,075
Factor Arrows
32,025
Factor Arrows
3675
Factor Arrows
3225
Factor Arrows
375
Factor Arrows
325
Factor Arrows
55

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

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 5 x 5 = 18,225

This can also be written as 36 x 52 = 18,225

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 18,225:


Ask a Question