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Test: Divisibility rules

This test helps students learn and practise the divisibility rules for 2, 3, 5, 9 and 10. Dynamic questions teach students to determine which numbers divide a natural number and to apply divisibility rules in practical situations.

Question qty: 10
Duration in minutes: 10
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Sample questions

  • What is the smallest natural number greater than a that is divisible by b?
  • A teacher has a cards. Can they be shared equally among b students?
  • Which digit should replace ? in the number a? so that it is divisible by 9?
  • Which number is divisible by b?
  • Is the number a divisible by b?
  • Which number is not divisible by b?
  • What is the smallest number that must be added to a to make the result divisible by b?
  • Which number is divisible by both a and b?

Divisibility rules

Divisibility rules determine whether a number divides exactly without performing long division. A number is divisible by 2 when its final digit is even, by 5 when it ends in 0 or 5, and by 10 when it ends in 0.

Digit-sum rules

  • A number is divisible by 3 when the sum of its digits is divisible by 3.
  • A number is divisible by 9 when the sum of its digits is divisible by 9.

For example, the digits of 234 total 9, so the number is divisible by both 3 and 9. Several rules may apply to the same number. For a missing-digit problem, add the known digits first and determine the required total.

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