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AMO 2027 Grades 6-7 SET 17 - Self-study Question 6

AMO · AMO 2027 Grades 6-7 SET 17 - Self-study

Question 6

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.