Es ist

${\displaystyle {}{\begin{aligned}72657&=3\cdot 24219\\&=3^{2}\cdot 8073\\&=3^{3}\cdot 2691\\&=3^{4}\cdot 897\\&=3^{5}\cdot 299.\end{aligned}}}$

Wegen

${\displaystyle {}299=99\cdot 3+2\,}$

${\displaystyle {}299}$

${\displaystyle {}3}$

${\displaystyle {}3}$

${\displaystyle {}72657}$

${\displaystyle {}5}$