Division (divisibility rule)

DivisorDivisibility RuleExample
2The last digit is even (0, 2, 4, 6, 8).246 (last digit is 6, so divisible by 2)
3The sum of the digits is divisible by 3.123 (1 + 2 + 3 = 6, divisible by 3)
4The number formed by the last two digits is divisible by 4.312 (last two digits 12 ÷ 4 = 3, divisible by 4)
5The last digit is 0 or 5.55 (last digit is 5, divisible by 5)
6The number is divisible by both 2 and 3.72 (divisible by 2 and 3, divisible by 6)
7Double the last digit, subtract it from the rest of the number, and check if the result is divisible by 7.203 (Double last digit: 3 × 2 = 6 → 20 - 6 = 14, divisible by 7)
8The number formed by the last three digits is divisible by 8.1,472 (last three digits 472 ÷ 8 = 59, divisible by 8)
9The sum of the digits is divisible by 9.729 (7 + 2 + 9 = 18, divisible by 9)
10The last digit is 0.150 (last digit is 0, divisible by 10)
11The difference between the sum of digits in odd positions and even positions is divisible by 11.2728 (2 + 2) - (7 + 8) = -11, divisible by 11
12The number is divisible by both 3 and 4.240 (divisible by 3 and 4, divisible by 12)