Q: What are the prime factors of the number 31,792,336?

 A: 2, 997, 1993

Why are those the prime factors of the number 31,792,336?

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 31,792,336

31,792,336
Factor Arrows
215,896,168
Factor Arrows
27,948,084
Factor Arrows
23,974,042
Factor Arrows
21,987,021
Factor Arrows
9971,993

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, 997, 1993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 997 x 1,993 = 31,792,336

This can also be written as 24 x 9971 x 1,9931 = 31,792,336

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 31,792,336:


Ask a Question