Q: What are the prime factors of the number 17,714,529?

 A: 3, 7, 40169

Why are those the prime factors of the number 17,714,529?

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 17,714,529

17,714,529
Factor Arrows
35,904,843
Factor Arrows
31,968,281
Factor Arrows
7281,183
Factor Arrows
740,169

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:

3, 7, 40169

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 40,169 = 17,714,529

This can also be written as 32 x 72 x 40,1691 = 17,714,529

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 17,714,529:


Ask a Question