Q: What are the prime factors of the number 15,019,272?

 A: 2, 3, 19, 10979

Why are those the prime factors of the number 15,019,272?

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 15,019,272

15,019,272
Factor Arrows
27,509,636
Factor Arrows
23,754,818
Factor Arrows
21,877,409
Factor Arrows
3625,803
Factor Arrows
3208,601
Factor Arrows
1910,979

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, 19, 10979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 10,979 = 15,019,272

This can also be written as 23 x 32 x 191 x 10,9791 = 15,019,272

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 15,019,272:


Ask a Question