Definition:Radical of Integer

Definition
The radical of an integer $n \in \Z$ is the product of the individual prime factors of $n$.

The radicals of the first few integers are given here:

The radical of $n$ can alternatively be described as the largest square-free integer which divides $n$.

Also known as
The radical of an integer is also known as the square-free kernel.

Also see

 * Definition:Square-Free Integer

Generalizations

 * Definition:Radical of Ideal of Ring, as shown at Radical of Principal Ideal in UFD