Question 1
It is given that the 4-digit number $\overline{abab}$ has 6 factors. What is the smallest possible value of $\overline{abab}$?
**Editorial note for this self-study exercise:** The overline denotes the four decimal digits a, b, a, b; a is nonzero. Count positive integer divisors.
**Editorial note for this self-study exercise:** The overline denotes the four decimal digits a, b, a, b; a is nonzero. Count positive integer divisors.