Q: What are the prime factors of the number 333,034,434?

 A: 2, 3, 23, 29, 27739

Why are those the prime factors of the number 333,034,434?

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 333,034,434

333,034,434
Factor Arrows
2166,517,217
Factor Arrows
355,505,739
Factor Arrows
318,501,913
Factor Arrows
23804,431
Factor Arrows
2927,739

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, 23, 29, 27739

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 23 x 29 x 27,739 = 333,034,434

This can also be written as 21 x 32 x 231 x 291 x 27,7391 = 333,034,434

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 333,034,434:


Ask a Question