Important: The numtheory package has been deprecated.  Use the superseding command NumberTheory[IsSquareFree] instead.

The function issqrfree(n) returns true if n is square free, and false otherwise. The integer n is square free if it is not divisible by a perfect square.

The command with(numtheory,issqrfree) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{numtheory}\right)\:$

$\mathrm{ifactor}\left(20\right)$

${\left(2\right)}^2\left(5\right)$

$\mathrm{issqrfree}\left(20\right)$

$\mathrm{false}$

$\mathrm{ifactor}\left(21\right)$

$\left(3\right)\left(7\right)$

$\mathrm{issqrfree}\left(21\right)$

$\mathrm{true}$