Q: What are the prime factors of the number 1,320,792?

 A: 2, 3, 11, 5003

Why are those the prime factors of the number 1,320,792?

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 1,320,792

1,320,792
Factor Arrows
2660,396
Factor Arrows
2330,198
Factor Arrows
2165,099
Factor Arrows
355,033
Factor Arrows
115,003

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, 11, 5003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 5,003 = 1,320,792

This can also be written as 23 x 31 x 111 x 5,0031 = 1,320,792

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 1,320,792:


Ask a Question