The factorization of the following numbers in Z[i].
- 11 + i
- 510 + 180i
Usually to determine the factorization of a number x we would find its prime factorization say $x=y*z$. Then, we would determine the solution to $a^2+b^2 = y $ and $a^2+b^2 = z $. But how do we determine the factorization of complex numbers such as the examples above?