Q: What are the prime factors of the number 324,320,312?

 A: 2, 73, 197, 2819

Why are those the prime factors of the number 324,320,312?

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 324,320,312

324,320,312
Factor Arrows
2162,160,156
Factor Arrows
281,080,078
Factor Arrows
240,540,039
Factor Arrows
73555,343
Factor Arrows
1972,819

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, 73, 197, 2819

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 73 x 197 x 2,819 = 324,320,312

This can also be written as 23 x 731 x 1971 x 2,8191 = 324,320,312

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 324,320,312:


Ask a Question