Question
Using divisibility test, determine if $7138965$ is divisible by $11.$
✓
Answer
Sum of the digits (at odd places) from the right $= 5 + 9 + 3 + 7 = 24$
Sum of the digits (at even places) from the right $= 6 + 8 + 1 = 15$
Difference of these sums $= 24 – 15 = 9$
$\because 9$ is not divisible by $11$
$\therefore 7138965$ is not 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 $= 6 + 8 + 1 = 15$
Difference of these sums $= 24 – 15 = 9$
$\because 9$ is not divisible by $11$
$\therefore 7138965$ is not 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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