Q: What are the prime factors of the number 255,422,025?

 A: 3, 5, 17, 22259

Why are those the prime factors of the number 255,422,025?

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 255,422,025

255,422,025
Factor Arrows
385,140,675
Factor Arrows
328,380,225
Factor Arrows
39,460,075
Factor Arrows
51,892,015
Factor Arrows
5378,403
Factor Arrows
1722,259

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:

3, 5, 17, 22259

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 17 x 22,259 = 255,422,025

This can also be written as 33 x 52 x 171 x 22,2591 = 255,422,025

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 255,422,025:


Ask a Question