Q: What are the prime factors of the number 17,322,468?

 A: 2, 3, 359, 4021

Why are those the prime factors of the number 17,322,468?

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 17,322,468

17,322,468
Factor Arrows
28,661,234
Factor Arrows
24,330,617
Factor Arrows
31,443,539
Factor Arrows
3594,021

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, 359, 4021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 359 x 4,021 = 17,322,468

This can also be written as 22 x 31 x 3591 x 4,0211 = 17,322,468

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 17,322,468:


Ask a Question