# Category:Square-Free Integers

This category contains results about integers which are square-free.

Let $n \in \Z$.

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

That is, if and only if the prime decomposition $n = p_1^{k_1} p_2^{k_2} \ldots p_r^{k_r}$ is such that:

$\forall i: 1 \le i \le r: k_i = 1$

## Pages in category "Square-Free Integers"

The following 6 pages are in this category, out of 6 total.