Moderate# Nilpotent Elements - Divisibility by Every Prime

ABSALG-G1YXER

An element $x$ of ring $R$ is called *nilpotent* if $x^n = 0$ for some integer $n$. In the ring $\mathbb{Z}/m\mathbb{Z}$, $x$ is nilpotent if and only if $x$ is divisible by every prime factor of $m$.

Which elements of $\mathbb{Z}/12\mathbb{Z}$ are nilpotent?

Select **ALL** that apply.