Hi everyone, I always have trouble on decomposing number into irreducible factors inside Gaussian integer field. I keep trying to express number as product as (a+bi)(c+di), and trying to solve a,b,c,d inside of integers (Z), then see if they are irreducibles, which of course end of very messy. Is there any techniques or algorithms to do these kind of decomposing numbers? Can anyone show me an example please so I may get good idea? Say take a prime 5, try to decompose it into irreducibles in Z Thanks a lot.