Q: What are the prime factors of the number 454,315,122?

 A: 2, 3, 8413243

Why are those the prime factors of the number 454,315,122?

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 454,315,122

454,315,122
Factor Arrows
2227,157,561
Factor Arrows
375,719,187
Factor Arrows
325,239,729
Factor Arrows
38,413,243

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, 8413243

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 8,413,243 = 454,315,122

This can also be written as 21 x 33 x 8,413,2431 = 454,315,122

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 454,315,122:


Ask a Question