Q: What are the prime factors of the number 33,184,136?

 A: 2, 17, 31, 463

Why are those the prime factors of the number 33,184,136?

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 33,184,136

33,184,136
Factor Arrows
216,592,068
Factor Arrows
28,296,034
Factor Arrows
24,148,017
Factor Arrows
17244,001
Factor Arrows
1714,353
Factor Arrows
31463

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, 17, 31, 463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 17 x 31 x 463 = 33,184,136

This can also be written as 23 x 172 x 311 x 4631 = 33,184,136

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 33,184,136:


Ask a Question