Q: What are the prime factors of the number 22,634,424?

 A: 2, 3, 104789

Why are those the prime factors of the number 22,634,424?

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 22,634,424

22,634,424
Factor Arrows
211,317,212
Factor Arrows
25,658,606
Factor Arrows
22,829,303
Factor Arrows
3943,101
Factor Arrows
3314,367
Factor Arrows
3104,789

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, 104789

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 104,789 = 22,634,424

This can also be written as 23 x 33 x 104,7891 = 22,634,424

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 22,634,424:


Ask a Question