Divisibility Rules 1 to 11

 

Divisibility Rules

 

1. Divisibility by 2

A number is divisible by 2 if it has any of the digits in one’s place

0,2,4,6,8 

 

Ex. 654/2 = 327

2. Divisibility by 3

If the sum of the digits of a number is a multiple of 3, then that number is divisible by “3”

 

Ex 1) 24 = 2+4= 6 is divisible by 3

      2) 129 = 1+2+9 = 12 = 1+2 = 3 divisible by 3

      3) 12345 = 1+2+3+4+5 = 15 = 1+5= 6 is divisible by 3

3. Divisibility by 4

A number with 3 or more digits is divisible by 4. If the number formed by its last two digits (ones, tens) is divisible by 4. And also, 0 in both places.

 

Ex. 312 &1312 both have 12 in at last two digits which is divisible by '4'

4. Divisibility by 5

The number with 0 and 5 in one’s place is divisible by 5

 

Ex. 750/5 = 150

 5. Divisibility by 6.

 If the number is divisible by both 2 and is

divisible by 6 too.

 

Ex.  8430 is divisible by 2 and 3 thus it is also divisible by 6

6. Divisibility Rule 7

A Number with 3 digits or more by divisible by 7, If the number last digit is multiplied by 2 and subtracted by the remaining 2 digits.  If the answer is divisible by 7 the two while the number is divisible by 7 

Ex. 679 =

      9x2=18  

      67-18 = 49 is divisible by 7 thus 679 is divisible by 7

 

7. Divisibility by 8

A number with 4 be more digits is divisible 8, if the number formed by the last three digits is divisible by8, and also '0' in the last three places

 

Ex. 58696 = 696/8 = 87 thus 58696 is divisible by 8

8. divisibility by 9

The sum of the digits of the number is divisible by 9

 

Ex. 279 = 2+7+9 = 18 is divisible by 9

9. Divisibility by 10

The Number with 0 in one’s to place divisible by 10

 

Ex. 470/10= 47

10. Divisibility by 11

A given Number divisible by 11. If the difference between the sum of the digits at odd places and

the sum of the digits at even placers (from the right) is either 0 or a multiple of 11. 

 

Ex.  29,843 = (in odd’s place) 3+8+2=13, (in even’s place) 4+9=13

13-13=0