Question
Test the divisibility of $5869473$ by $11.$
✓
Answer
$5869473A$ number is divisible by $11$ if the the difference of the sums of the digits at the odd places and that at the even places (starting from ones place) is either $0$ or a multiple of $11.$
Sum of the digits at even places $= 7 + 9 + 8$
$= 24$
Sum of the digits in odd places $= 3 + 4 + 6 + 5$
$= 18$
Difference $= 24 - 18$
$= 6$
Since $6$ is not divisible by $11, 5869473$ is not divisible by $11.$
Sum of the digits at even places $= 7 + 9 + 8$
$= 24$
Sum of the digits in odd places $= 3 + 4 + 6 + 5$
$= 18$
Difference $= 24 - 18$
$= 6$
Since $6$ is not divisible by $11, 5869473$ is not divisible by $11.$
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