Q: What are the prime factors of the number 4,244,544?

 A: 2, 3, 7369

Why are those the prime factors of the number 4,244,544?

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 4,244,544

4,244,544
Factor Arrows
22,122,272
Factor Arrows
21,061,136
Factor Arrows
2530,568
Factor Arrows
2265,284
Factor Arrows
2132,642
Factor Arrows
266,321
Factor Arrows
322,107
Factor Arrows
37,369

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, 7369

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 3 x 3 x 7,369 = 4,244,544

This can also be written as 26 x 32 x 7,3691 = 4,244,544

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 4,244,544:


Ask a Question