3. Zadatak

Neka je traženi broj oblika $\overline{abc}$, $a \ne 0$. Iz uvjeta zadatka je $a \cdot b = c$. Rješenja su dana u tablici:

$a$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$2$	$2$	$2$	$2$	$2$	$3$
$b$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$0$	$1$	$2$	$3$	$4$	$0$
$c$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$0$	$2$	$4$	$6$	$8$	$0$

$a$	$3$	$3$	$3$	$4$	$4$	$4$	$5$	$5$	$6$	$6$	$7$	$7$	$8$	$8$	$9$	$9$
$b$	$1$	$2$	$3$	$0$	$1$	$2$	$0$	$1$	$0$	$1$	$0$	$1$	$0$	$1$	$0$	$1$
$c$	$3$	$6$	$9$	$0$	$4$	$8$	$0$	$5$	$0$	$6$	$0$	$7$	$0$	$8$	$0$	$9$

Traženi brojevi su: $100$, $111$, $122$, $133$, $144$, $155$, $166$, $177$, $188$, $199$, $200$, $212$, $224$, $236$, $248$, $300$, $313$, $326$, $339$, $400$, $414$, $428$, $500$, $515$, $600$, $616$, $700$, $717$, $800$, $818$, $900$, $919$.

Takvih brojeva ima ukupno $32$.