Q: What are the prime factors of the number 304,463,064?

 A: 2, 3, 17, 746233

Why are those the prime factors of the number 304,463,064?

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 304,463,064

304,463,064
Factor Arrows
2152,231,532
Factor Arrows
276,115,766
Factor Arrows
238,057,883
Factor Arrows
312,685,961
Factor Arrows
17746,233

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, 746233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 17 x 746,233 = 304,463,064

This can also be written as 23 x 31 x 171 x 746,2331 = 304,463,064

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 304,463,064:


Ask a Question