Q: What are the prime factors of the number 99,144?

 A: 2, 3, 17

Why are those the prime factors of the number 99,144?

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 99,144

99,144
Factor Arrows
249,572
Factor Arrows
224,786
Factor Arrows
212,393
Factor Arrows
34,131
Factor Arrows
31,377
Factor Arrows
3459
Factor Arrows
3153
Factor Arrows
351
Factor Arrows
317

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, 17

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 17 = 99,144

This can also be written as 23 x 36 x 171 = 99,144

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 99,144:


Ask a Question