Q: What are the prime factors of the number 33,312,510?

 A: 2, 3, 5, 7, 11, 19, 23

Why are those the prime factors of the number 33,312,510?

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 33,312,510

33,312,510
Factor Arrows
216,656,255
Factor Arrows
35,552,085
Factor Arrows
31,850,695
Factor Arrows
5370,139
Factor Arrows
752,877
Factor Arrows
114,807
Factor Arrows
11437
Factor Arrows
1923

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, 5, 7, 11, 19, 23

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 11 x 11 x 19 x 23 = 33,312,510

This can also be written as 21 x 32 x 51 x 71 x 112 x 191 x 231 = 33,312,510

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 33,312,510:


Ask a Question