prove that 133716 is divisible by 11 without divising
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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, 133716 has alternating sum of digits 1 – 3 + 3 – 7 + 1 -6 = -11. Since -11 is divisible by 11, so is 133716 also divisible by 11 proved
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