Q: What are the prime factors of the number 12,934,720?

 A: 2, 5, 83, 487

Why are those the prime factors of the number 12,934,720?

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 12,934,720

12,934,720
Factor Arrows
26,467,360
Factor Arrows
23,233,680
Factor Arrows
21,616,840
Factor Arrows
2808,420
Factor Arrows
2404,210
Factor Arrows
2202,105
Factor Arrows
540,421
Factor Arrows
83487

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, 5, 83, 487

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 5 x 83 x 487 = 12,934,720

This can also be written as 26 x 51 x 831 x 4871 = 12,934,720

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 12,934,720:


Ask a Question