Divisibility by 3: If the sum of the digits is divisible by 3. e.g. 312 is divisible by 3, 3+1+2=6 6÷3 = 2

Divisibility by 4: If the last two digits are divisible by 4. e.g. 5,932 32÷4=8

Divisibility by 5: If the last digit in the number is 5 or 0 e.g. 2,345÷5

Divisibility by 6: A combination of the divisibility rules of 2 & 3. If the last digit is even and the sum of the digits are by 3. e.g. 516, 6 is even. 5+1+6=12 12÷3 =4

Divisibility by 7: This one is a little complicated. To determine if a number is divisible by 7, take the last digit off the number, double it and subtract the doubled number from the remaining number. If the result is evenly divisible by 7 (e.g. 14, 7, 0, -7, etc.), then the number is divisible by seven. This may need to be repeated several times.

Example: Is 3101 evenly divisible by 7?

310 - take off the last digit of the number which was 1
-2 - double the removed digit and subtract it
308 - repeat the process by taking off the 8
-16 - and doubling it to get 16 which is subtracted
14 - the result is 14 which is a multiple of 7