3367 Multiplied by 2-Digit Number

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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.

$\blacksquare$


Sources