Divisible by:
 If:
 Examples:

2
 The last digit is even (0,2,4,6,8)
 128 is
129 is not

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).7019 is not

5
 The last digit is 0 or 5
 175 is
809 is not

6
 The number is divisible by both 2 and 3
 114 (it is even, and 1+1+4=6 and 6÷3 = 2) Yes
308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3) No

7
 If you double the last digit and subtract it from the rest of the number and the answer is:
• 0, or
• divisible by 7
(Note: you can apply this rule to that answer again if you want)
 672 (Double 2 is 4, 674=63, and 63÷7=9) Yes
905 (Double 5 is 10, 9010=80, and 80÷7=11 3/7) No

8
 The last three digits are divisible by 8
 109816 (816÷8=102) Yes
216302 (302÷8=37 3/4) No

9
 The sum of the digits is divisible by 9
(Note: you can apply this rule to that answer again if you want)
 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.221 is not

11
 If you sum every second digit and then subtract all other digits and the answer is:
• 0, or
• divisible by 11
 1364 ((3+4)  (1+6) = 0) Yes
3729 ((7+9)  (3+2) = 11) Yes
25176 ((5+7)  (2+1+6) = 3) No

12
 The number is divisible by both 3 and 4
 648 .(By 3? 6+4+8=18 and 18÷3=6 Yes. .By 4? 48÷4=12 Yes) Yes
524 .(By 3? 5+2+4=11, 11÷3= 3 2/3 No. .Don't need to check by 4.)No
