# 3367 Multiplied by 2-Digit Number

## Theorem

In order to multiply $3367$ by a $2$-digit integer $\sqbrk {xy}$:

divide the $6$-digit integer $\sqbrk {xyxyxy}$ by $3$.

## Proof

We have that:

$10101 = 3367 \times 3$

Then:

$10101 \times \sqbrk {xy} = \sqbrk {xyxyxy}$

The result follows.

$\blacksquare$