Q: What are the prime factors of the number 333,576,672?

 A: 2, 3, 11, 13, 47

Why are those the prime factors of the number 333,576,672?

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 333,576,672

333,576,672
Factor Arrows
2166,788,336
Factor Arrows
283,394,168
Factor Arrows
241,697,084
Factor Arrows
220,848,542
Factor Arrows
210,424,271
Factor Arrows
33,474,757
Factor Arrows
11315,887
Factor Arrows
1128,717
Factor Arrows
132,209
Factor Arrows
4747

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, 11, 13, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 13 x 47 x 47 = 333,576,672

This can also be written as 25 x 31 x 112 x 131 x 472 = 333,576,672

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 333,576,672:


Ask a Question