Yes, $52$ is divisible by $13$, because $13\times4=52$, and $4$ is an integer.
Work Step by Step
The statement that $52$ is divisible by $13$ is written symbolically as $13|52$. By definition, for two integers $a$ and $b$ where $a\ne0$, $a|b$ if and only if $b=ka$ for some integer $k$. Here, $a=13$, $b=52$, and $k=4$.