Definition:Square-Free Integer

Definition
Let $n \in \Z$.

Then $n$ is square-free $n$ has no divisor which is the square of a prime.

That is, the prime decomposition $n = {p_1}^{k_1} {p_2}^{k_2} \cdots {p_r}^{k_r}$ is such that:
 * $\forall i: 1 \le i \le r: k_i = 1$

Also see

 * Definition:Radical of Integer