Q: What are the prime factors of the number 33,107,364?

 A: 2, 3, 17, 47, 1151

Why are those the prime factors of the number 33,107,364?

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 33,107,364

33,107,364
Factor Arrows
216,553,682
Factor Arrows
28,276,841
Factor Arrows
32,758,947
Factor Arrows
3919,649
Factor Arrows
1754,097
Factor Arrows
471,151

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, 47, 1151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 17 x 47 x 1,151 = 33,107,364

This can also be written as 22 x 32 x 171 x 471 x 1,1511 = 33,107,364

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 33,107,364:


Ask a Question