Divisibility rules

Divisibility rules for 2 

If last digit of a number is even or 0, then the number is divisible by 2.

*Even number or even digit means the digit or number which is divisible by 2. 

Divisibility rules for 3

If sum of the digits of a number is divisible by 3 then the number is divisible by 3. 

*Sum of the digits of a number means, if the number is 123 then sum of the digits of this number 1+2+3=6. 6 is divisible by 3. So 123 is divisible by 3.

Divisibility rules for 4

If the last two digits of a number is divisible by 4 then the number is divisible by 4.

Example: 6428 — last two digits of this number is 28 and this is divisible by 4. So this number is divisible by 4. 

Divisibility rules for 5 

If the ending digit of a number is 0 or 5, then the number is divisible by 5.

Example: 4350 — ending digit is 0, So this number is divisible by 5. 

Divisibility rules for 6

If the number is divisible by both 3 and 2 then the number is also divisible by 6. So see the divisibility rule of 3 and 2. 

Divisibility rules for 8

If last three digits of a number is divisible by 8 then the number is divisible by 8.

Divisibility rules for 9 

If the sum of all digits of a number is divisible by 9 then the number is divisible by 9. 

Divisibility rules for 10 

If the ending digit of a number is 0 then the number is divisible by 10.

Divisibility rules for 11 

If sum of odd places digits and sum of even places digits of a number is equal, then the number is divisible by 11.  Sum of Even digits = Sum of Odd digits.

Example: 2865423 — 2+6+4+3=8+5+2 =⟩ 15=15