Question
Using divisibility test, determine if $901153$ is divisible by $11.$
✓
Answer
Sum of the digits (at odd places) from the right $= 3 + 1 + 0 = 4$
Sum of the digits (at even places) from the right $= 5 + 1 + 9 = 15$
Difference of these sums $= 15 – 4 = 11$
$\because 11$ is divisible by $11.$
$\therefore 901153$ is divisible by $11$ because a no. is divisible by $11$ if difference of the sum of 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 $= 5 + 1 + 9 = 15$
Difference of these sums $= 15 – 4 = 11$
$\because 11$ is divisible by $11.$
$\therefore 901153$ is divisible by $11$ because a no. is divisible by $11$ if difference of the sum of digits at odd places and even places from the right is either $0$ or divisible by $11.$
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