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A number is divisible by 33 if

  • the sum of the digits is 0, 3, 6 or 9;and
  • the difference between (the sum of the digits in the odd places) and (the sum of the digits in the even places) is 0, 11, 22, 33, ... . This process may require repeating if the original number is very large,
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Q: What are the divisibility rules for 33?
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