Divisibility of a number

The Divisibility of a number is a repeating type of questions.there are somany model in this part. first Read the following article.



DIVISIBLE BY 2

Unit place of a number is even or Zero ,is divisible by 2

Eg 220 ,3648

DIVISIBLE BY 3

Sum of digits is divisible by 3.

Eg : 2367

Sum of digits 2+3+6+7=18 is divisible by 3

DIVISIBLE BY 4

Last two digits of a Numbers is divisible by 4 then the number is divisible by 4.

Eg:2884

84 is divisible by 4 so 2884 is divisible by 4

DIVISIBLE BY 5

 Unit place is 0 or 5.

Eg: 20,25

DIVISIBLE BY 6

Number is divisible by 2 and 3 then it is divisible by 6 .

Eg: 1716

 Last digit is even so it is divisible by 2. Sum of digits is 15 is divisible by 3 so the number 1716 is divisible by 6.

DIVISIBLE BY 7

If the difference between double of the last digit and the number formed by other digits is 0 or multiple of 7

Eg:315

31-(5×2)=31-10=21 is a multiple of 7 so 315 is divisible by 7

DIVISIBLE BY 8

The last three digits of a number is divisible by 8.

Eg :8024
Last 3 digits 024 is divisible by 8

DIVISIBLE BY 9

Sum of digits is divisible by 9.

Eg:4122

4+1+2+2=9 is divisible by 9 so 4122 is divisible by 9.

DIVISIBLE BY 10.

Unit place is 0

DIVISIBLE BY 11

Difference between sum of digits in Odd places and sum of digits in even places is either 0 or multiple of 11

Eg 71632

(7+6+2)-(1+3)=15-4=11 is divisible by 11.