Q: What are the prime factors of the number 33,432?

 A: 2, 3, 7, 199

Why are those the prime factors of the number 33,432?

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 33,432

33,432
Factor Arrows
216,716
Factor Arrows
28,358
Factor Arrows
24,179
Factor Arrows
31,393
Factor Arrows
7199

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, 7, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 199 = 33,432

This can also be written as 23 x 31 x 71 x 1991 = 33,432

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 33,432:


Ask a Question