RULES of DIVISIBILITY
|
A number is |
If: |
Example: |
|
2 |
The last digit is even (0,2,4,6,8) |
128 is |
|
3 |
The sum of the digits is divisible by 3 |
381 (3+8+1=12, and 12÷3 = 4) Yes 217 (2+1+7=10, and 10÷3 = 3 1/3) No |
|
4 |
The last 2 digits are divisible by 4 |
1312 is (12÷4=3) |
|
5 |
The last digit is 0 or 5 |
175 is |
|
6 |
The number is divisible by both 2 and 3 |
114 (it is even, and 1+1+4=6 and 6÷3 = 2) Yes 0+8=11 and 11÷3 = 3 2/3) No |
|
9 |
The sum of the digits is divisible by 9 |
1629 (1+6+2+9=18, and again, 1+8=9) Yes 2013 (2+0+1+3=6) No |
|
10 |
The number ends in 0 |
220 is |
|
12 |
The number is divisible by both 3 and 4 |
648 (6+4+8=18 and 18÷3=6, also 48÷4=12) Yes 916 (9+1+6=16, 16÷3= 5 1/3) No |