Q: What are the prime factors of the number 33,979,300?

 A: 2, 5, 29, 11717

Why are those the prime factors of the number 33,979,300?

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 33,979,300

33,979,300
Factor Arrows
216,989,650
Factor Arrows
28,494,825
Factor Arrows
51,698,965
Factor Arrows
5339,793
Factor Arrows
2911,717

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, 5, 29, 11717

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 29 x 11,717 = 33,979,300

This can also be written as 22 x 52 x 291 x 11,7171 = 33,979,300

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 33,979,300:


Ask a Question