Q: What are the prime factors of the number 1,509,008?

 A: 2, 37, 2549

Why are those the prime factors of the number 1,509,008?

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 1,509,008

1,509,008
Factor Arrows
2754,504
Factor Arrows
2377,252
Factor Arrows
2188,626
Factor Arrows
294,313
Factor Arrows
372,549

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, 37, 2549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 2,549 = 1,509,008

This can also be written as 24 x 371 x 2,5491 = 1,509,008

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 1,509,008:


Ask a Question