Question
Using divisibility tests, determine if $70169308$ is divisible by $11.$
✓
Answer
Sum of the digits (at odd places) from the right $= 8 + 3 + 6 + 0 = 17$
Sum of the digits (at even places) from the right $= 0 + 9 + 1 + 7 = 17$
Difference of these sums $= 17 – 17 = 0$
$\therefore 70169308$ 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 $= 0 + 9 + 1 + 7 = 17$
Difference of these sums $= 17 – 17 = 0$
$\therefore 70169308$ 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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