Q: What are the prime factors of the number 31,733,934?

 A: 2, 3, 17, 18301

Why are those the prime factors of the number 31,733,934?

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 31,733,934

31,733,934
Factor Arrows
215,866,967
Factor Arrows
35,288,989
Factor Arrows
17311,117
Factor Arrows
1718,301

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, 17, 18301

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 17 x 18,301 = 31,733,934

This can also be written as 21 x 31 x 172 x 18,3011 = 31,733,934

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 31,733,934:


Ask a Question