Divisibility Rules for Numbers 2 to 11 Simplified Rules: A number is divisible by 2 when it ends in 2 or 0. A number is divisible by 3 when the sum...
Divisibility Rules for Numbers 2 to 11 Simplified
Rules:
A number is divisible by 2 when it ends in 2 or 0.
A number is divisible by 3 when the sum of its digits is divisible by 3.
A number is divisible by 4 when the last digit is 0.
A number is divisible by 5 when it ends in 0.
A number is divisible by 6 when it is divisible by both 2 and 3.
A number is divisible by 7 when the number can be written in the form of 7k ± 1.
A number is divisible by 9 when the sum of its digits is divisible by 9.
Examples:
12 is divisible by 2 because it ends in 2.
15 is divisible by 3 because the sum of its digits (1 + 5 = 6) is divisible by 3.
16 is divisible by 4 because the last digit is 0.
21 is divisible by 5 because it ends in 0.
30 is divisible by 6 because it is divisible by both 2 and 3.
49 is divisible by 7 because 4 + 9 = 13, which is divisible by 7.
63 is divisible by 9 because the sum of its digits (6 + 3 = 9) is divisible by 9.
Additional Notes:
A number is divisible by 11 when it ends in 0 and the sum of its digits is not divisible by 11.
A number is divisible by both 2 and 3 if it ends in 0 and the sum of its digits is divisible by 3.
A number is divisible by 4 only if the last digit is 0.
A number divisible by 5 can also be divisible by 10