Test
Divisibility rules
This test helps students learn and practice 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.
Time left: 00:00:00
Sample questions
- Is the number ___ divisible by ___?
- Which number is divisible by ___?
- Which number is divisible by both ___ and ___?
- Which digit should replace ? in the number ___? so that it is divisible by 9?
- What is the smallest natural number greater than ___ that is divisible by ___?
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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