rule of divisiblity of 11
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If the number of digits is even, add the first and subtract the last digit from the rest. The result must be divisible by 11. If the number of digits is odd, subtract the first and last digit from the rest. The result must be divisible by 11.
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Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11.
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