A question on hom functor of divisible groups

Question

I'm having a trouble with these problems:

For $D$ is an divisible group and $\mathbb{Z}$ is the set of integers prove that

$Hom(D,\mathbb{Z})=0$ and $Hom(D,\mathbb{Z_n})=0$ for any divisible group $D$.

Answer 1

Hint: homomorphic images of divisible groups are divisible.