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$13837 \cdot ab \cdot 73 = abababab$, where $ab$ is a two digit number. What are the reason or speciality of $13837$ and $73$? Why it is happening

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    Exceptional...thanks a lot – 2017-02-06
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    It's better to write $\overline{ab}$ as a two-digit number $10a+b$. – 2017-02-06

2 Answers 2

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$13837\times73=1010101.$

$1010101\times ab$ gives this form

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The explanation is $ 13837 \cdot ab \cdot 73 = ab \cdot 1010101. $

When $ab$ has two digits, we have $ab \cdot 1010101 = abababab$.