Q: What are the prime factors of the number 57,271,720?

 A: 2, 5, 11, 11833

Why are those the prime factors of the number 57,271,720?

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 57,271,720

57,271,720
Factor Arrows
228,635,860
Factor Arrows
214,317,930
Factor Arrows
27,158,965
Factor Arrows
51,431,793
Factor Arrows
11130,163
Factor Arrows
1111,833

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, 11, 11833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 11 x 11 x 11,833 = 57,271,720

This can also be written as 23 x 51 x 112 x 11,8331 = 57,271,720

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 57,271,720:


Ask a Question