The Math Meridian
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Divisibility puzzles

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Learn it Use the divisibility rules to test each possible digit: 3 and 9 use the digit sum, 4 uses the last two digits, 11 uses the alternating sum, 6 = 2 and 3, 12 = 3 and 4.

Example: Which digit makes 4□52 divisible by 9?

  1. Digit sum: $4 + □ + 5 + 2 = 11 + □$.
  2. It must be a multiple of 9: $11 + □ = 18$.
  3. □ = 7.

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