Q: What are the prime factors of the number 326,063,616?

 A: 2, 3, 212281

Why are those the prime factors of the number 326,063,616?

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 326,063,616

326,063,616
Factor Arrows
2163,031,808
Factor Arrows
281,515,904
Factor Arrows
240,757,952
Factor Arrows
220,378,976
Factor Arrows
210,189,488
Factor Arrows
25,094,744
Factor Arrows
22,547,372
Factor Arrows
21,273,686
Factor Arrows
2636,843
Factor Arrows
3212,281

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, 212281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 212,281 = 326,063,616

This can also be written as 29 x 31 x 212,2811 = 326,063,616

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 326,063,616:


Ask a Question