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

The function divisors will compute the set of positive divisors of its integer argument n.

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

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

$\mathrm{divisors}\left(-9\right)$

$\left\{1\,3\,9\right\}$

$\mathrm{\tau }\left(-9\right)$

$3$

$\mathrm{divisors}\left(0\right)$

$\varnothing$

$\mathrm{\tau }\left(0\right)$

$0$

$\mathrm{divisors}\left(1\right)$

$\left\{1\right\}$

$\mathrm{\tau }\left(1\right)$

$1$

$\mathrm{divisors}\left(10\right)$

$\left\{1\,2\,5\,10\right\}$

$\mathrm{\tau }\left(10\right)$

$4$

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

$\left\{1\,2\,4\,5\,10\,20\right\}$

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

$6$