Q: What are the prime factors of the number 15,623,028?

 A: 2, 3, 37, 317

Why are those the prime factors of the number 15,623,028?

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 15,623,028

15,623,028
Factor Arrows
27,811,514
Factor Arrows
23,905,757
Factor Arrows
31,301,919
Factor Arrows
3433,973
Factor Arrows
3711,729
Factor Arrows
37317

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, 37, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 37 x 37 x 317 = 15,623,028

This can also be written as 22 x 32 x 372 x 3171 = 15,623,028

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 15,623,028:


Ask a Question