Question
Using divisibility test, determine if $10824$ is divisible by $11.$
✓
Answer
Sum of the digits (at odd places) from the right $= 4 + 8 + 1 = 13$
Sum of the digits (at even places) from the right $= 2 + 0 = 2.$
Difference of these sums $= 13 – 2 = 11$
$\because 11$ is divisible by $11$
$\therefore 10824$ is divisible by $11$ because a no. is divisible by $11$ if difference of the sum of the digits at odd places and even places from the right is either $0$ or divisible by $11.$
Sum of the digits (at even places) from the right $= 2 + 0 = 2.$
Difference of these sums $= 13 – 2 = 11$
$\because 11$ is divisible by $11$
$\therefore 10824$ is divisible by $11$ because a no. is divisible by $11$ if difference of the sum of the digits at odd places and even places from the right is either $0$ or divisible by $11.$
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