Divisibility Rule of 11: A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is either 0 or a multiple of 11. Calculation: Number: 19487161 Sum of digits in odd positions: 1+4+7+6=18 Sum of digits in even positions: 9+8+1+1=19 Difference: 19−18=1 To make the number divisible by 11 , we need to make the difference 0 or a multiple of 11 . ⇒ The smallest number =11−1=10 Hence, Smallest number is 10 .