Q: What are the prime factors of the number 15,580,672?

 A: 2, 30431

Why are those the prime factors of the number 15,580,672?

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 15,580,672

15,580,672
Factor Arrows
27,790,336
Factor Arrows
23,895,168
Factor Arrows
21,947,584
Factor Arrows
2973,792
Factor Arrows
2486,896
Factor Arrows
2243,448
Factor Arrows
2121,724
Factor Arrows
260,862
Factor Arrows
230,431

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, 30431

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 2 x 2 x 30,431 = 15,580,672

This can also be written as 29 x 30,4311 = 15,580,672

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 15,580,672:


Ask a Question