Question

Fill in the blanks with the smallest digit to make the number divisible by $11$:

$7\_\_\_3593$

Answer 1

The divisibility by $11$ rule states that if the difference of the sum of the digits at odd places and the sum of the digits at even places of the number is $0$or divisible by $11$, then the given number is also divisible by $11$.

For calculating the difference, we always subtract the smaller value from the larger value.

The sum of digit at odd places is $7+3+9=19$
The sum of digit at even places is $5+3=8$

difference is $19-8=11$ which is divisible by $11$

The next number nearest which is divisible by $11$is $0$.

Hence, the number which is divisible by $11$is $703593$