Question

3^n|1•3•5•100 cel mai mare n

Answer 1

$3^n|3\cdot5\cdot2^2\cdot5^2$
$3^n|2^2\cdot5^3\cdot3$
$3\nmid2^2\cdot5^3\Rightarrow3^n\nmid2^2\cdot5^3,~\forall n\in\mathbb{N}$
$\Rightarrow3^n\mid3,~3^n\in\{1,3\},~n\in\{0,1\}$
$\boxed{Cel~mai~mare~n~este~1}$