Q: What are the prime factors of the number 9,244,544?

 A: 2, 72223

Why are those the prime factors of the number 9,244,544?

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 9,244,544

9,244,544
Factor Arrows
24,622,272
Factor Arrows
22,311,136
Factor Arrows
21,155,568
Factor Arrows
2577,784
Factor Arrows
2288,892
Factor Arrows
2144,446
Factor Arrows
272,223

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, 72223

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 2 x 72,223 = 9,244,544

This can also be written as 27 x 72,2231 = 9,244,544

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 9,244,544:


Ask a Question