Q: What are the prime factors of the number 22,225,472?

 A: 2, 61, 5693

Why are those the prime factors of the number 22,225,472?

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 22,225,472

22,225,472
Factor Arrows
211,112,736
Factor Arrows
25,556,368
Factor Arrows
22,778,184
Factor Arrows
21,389,092
Factor Arrows
2694,546
Factor Arrows
2347,273
Factor Arrows
615,693

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, 61, 5693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 61 x 5,693 = 22,225,472

This can also be written as 26 x 611 x 5,6931 = 22,225,472

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 22,225,472:


Ask a Question