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Match Each Divisor to Its Divisibility Test
publish date: 2026/05/13 08:04:58.984771 UTC
volume_muteMatch each divisor to the correct rule for testing divisibility.
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Divisor
2
3
4
5
6
9
10
Rule
Last digit is 0
Sum of digits divisible by 3, AND last digit is even
Last two digits form a number divisible by 4
Sum of digits is divisible by 9
Last digit is 0 or 5
Last digit is even (0, 2, 4, 6, or 8)
Sum of digits is divisible by 3
Correct Answer
(1) 2,Last digit is even (0, 2, 4, 6, or 8)
(2) 3,Sum of digits is divisible by 3
(3) 4,Last two digits form a number divisible by 4
(4) 5,Last digit is 0 or 5
(5) 6,Sum of digits divisible by 3, AND last digit is even
(6) 9,Sum of digits is divisible by 9
(7) 10,Last digit is 0
Explanation
The seven rules: ÷2: last digit even. ÷3: digit sum ÷ 3 = 0 R. ÷4: last two digits ÷ 4. ÷5: last digit 0 or 5. ÷6: must pass both ÷2 and ÷3 tests. ÷9: digit sum ÷ 9 = 0 R. ÷10: last digit 0.
Reference
Mathematics for college students