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A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or divisible by 11. For example, for 2547039: (Sum of digits at odd places) - (Sum of digits at even places) = (9 + 0 + 4 + 2) - (3 + 7 + 5) = 0 So 2547039 is divisible by 11. But for 13165648: (Sum of digits at odd places) - (Sum of digits at even places) = (8 + 6 + 6 + 3) - (4 + 5 + 1 + 1) = 12 12 is not divisible by 11 so 13165648 is also not divisible by 11.

A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or divisible by 11. For example, for 2547039: (Sum of digits at odd places) - (Sum of digits at even places) = (9 + 0 + 4 + 2) - (3 + 7 + 5) = 0 So 2547039 is divisible by 11. But for 13165648: (Sum of digits at odd places) - (Sum of digits at even places) = (8 + 6 + 6 + 3) - (4 + 5 + 1 + 1) = 12 12 is not divisible by 11 so 13165648 is also not divisible by 11.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of
its digits at even places is either 0 or divisible by 11.
For example, for 2547039:
(Sum of digits at odd places) - (Sum of digits at even places) = (9 + 0 + 4 + 2) - (3 + 7 + 5) = 0
So 2547039 is divisible by 11.
But for 13165648:
(Sum of digits at odd places) - (Sum of digits at even places) = (8 + 6 + 6 + 3) - (4 + 5 + 1 + 1) = 12
12 is not divisible by 11 so 13165648 is also not divisible by 11.

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