3367 Multiplied by 2-Digit Number

Theorem
In order to multiply $3367$ by a $2$-digit integer $\left[{xy}\right]$:


 * divide the $6$-digit integer $\left[{xyxyxy}\right]$ by $3$.

Proof
We have that:
 * $10101 = 3367 \times 3$

Then:
 * $10101 \times \left[{xy}\right] = \left[{xyxyxy}\right]$

The result follows.