Q: What are the prime factors of the number 45,004?

 A: 2, 11251

Why are those the prime factors of the number 45,004?

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 45,004

45,004
Factor Arrows
222,502
Factor Arrows
211,251

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, 11251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11,251 = 45,004

This can also be written as 22 x 11,2511 = 45,004

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 45,004:


Ask a Question