3367 Multiplied by 2-Digit Number
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Theorem
In order to multiply $3367$ by a $2$-digit integer $\sqbrk {xy}$:
Proof
We have that:
- $10101 = 3367 \times 3$
Then:
- $10101 \times \sqbrk {xy} = \sqbrk {xyxyxy}$
The result follows.
$\blacksquare$
Sources
- 1975: Martin Gardner: Mathematical Carnival: Chapter $7$: Tricks of Lightning Calculators: Addendum
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3367$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3367$