Q: What are the prime factors of the number 225,004,041?

 A: 3, 71, 117373

Why are those the prime factors of the number 225,004,041?

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 225,004,041

225,004,041
Factor Arrows
375,001,347
Factor Arrows
325,000,449
Factor Arrows
38,333,483
Factor Arrows
71117,373

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, 71, 117373

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 71 x 117,373 = 225,004,041

This can also be written as 33 x 711 x 117,3731 = 225,004,041

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 225,004,041:


Ask a Question