Q: What are the prime factors of the number 661,055,428?

 A: 2, 11, 647, 2111

Why are those the prime factors of the number 661,055,428?

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 661,055,428

661,055,428
Factor Arrows
2330,527,714
Factor Arrows
2165,263,857
Factor Arrows
1115,023,987
Factor Arrows
111,365,817
Factor Arrows
6472,111

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, 11, 647, 2111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 11 x 647 x 2,111 = 661,055,428

This can also be written as 22 x 112 x 6471 x 2,1111 = 661,055,428

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 661,055,428:


Ask a Question