For one thing factoring helps reduce fractions. It is a basic skill that comes up in simplification of complicated expressions. Since math began thousands of years ago people have been fascinated by prime numbers. Since composites are not prime and are made up of prime factors the natural question is what are those factors. You find them by factoring.
The trivial and non trivial factors...
Factoring numbers? Which?
Ok, and what is the purpose of it ?
When you factor an integer n it will always have 4 trivial factors (-1,1,-n,n) all the other factors are non trivial.
Can somebody tell me what are non trivial factors ?