Q: What are the prime factors of the number 57,105,775?

 A: 5, 67, 103, 331

Why are those the prime factors of the number 57,105,775?

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 57,105,775

57,105,775
Factor Arrows
511,421,155
Factor Arrows
52,284,231
Factor Arrows
6734,093
Factor Arrows
103331

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:

5, 67, 103, 331

We can check our work by multiplying all of the prime factors together: 5 x 5 x 67 x 103 x 331 = 57,105,775

This can also be written as 52 x 671 x 1031 x 3311 = 57,105,775

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 57,105,775:


Ask a Question