## anonymous 4 years ago Is 0 a multiple of any no, since any no time 0 is always zero ?

Definition of multiple: $$a$$ is a multiple of $$b$$ if there exists another integer $$c$$ such that $$a = b \times c$$ where $$a,b,c \in \mathbb{Z}$$ Lets put $$a=0$$ and $$b$$ any integer, then now we need to find an integer $$c$$ such that $$0 = b\times c$$. Notice that if we choose $$c = 0$$ the claim holds, Hence, $$0$$ is a multiple of every integer. QED.