Primfaktorzerlegung von 6 {\displaystyle 6} in Z [ i ] {\displaystyle \mathbb {Z} [i]} :
Wobei − i ∈ Z [ i ] × {\displaystyle -i\in \mathbb {Z} [i]^{\times }} und 3 , i + 1 {\displaystyle 3,i+1} prim.