What is Divisibilty test of 7?

What is Divisibilty test of 3?|What is Divisibilty test of 4?|

What is Divisibilty test of  7?|What is Divisibilty test of 8?|What is Divisibilty test of 9?

Divisibility Tests

The following are some shortcuts for deciding whether a given integer is divisible by2,3,4,5,6,8,9
 .

Divisibility by 
$2$

An integer is divisible by 
$2$ if its last digit 
$0,2,4,6$ or 
$8$ . (In other words, if it's even.)

Example: 24,424,5286,19578......

 .

Divisibility by 
$3$

An integer is divisible by 
$3$ if the sum of its digits is divisible by 
$3$ .

Example: 81 as 8+1 =9 and 9 is divisible by 3

Divisibility by 4 

An integer is divisible by 

$4$ if the last two digits are divisible by 4

 .)

Example:  524 as 24 is divisible by 4
796 as 96 is divisible by 4

 divisible by

Divisibility by 5

An integer is divisible by 5
 if the last digit is either
$0$ or 
$5$ .

Example: 75,100,125,1350,19255,56780...

Divisibility by 6

An integer is divisible by 
$6$ if it is divisible by 
$\mathrm{2\; and}$ divisible by 
$3$ .

Example: 12 as 12 is divisible by 2 as well as 3.

Divisibility by 
$7$

Remove the last digit, double it, subtract it from the truncated original number and continue doing this until only one digit remains. If this is 0 or 7, then the original number is divisible by 7.

Example:1603 -> 160-2(3)=154 -> 15-2(4)=7, so 1603 is divisible by 7.

Divisibility by 8

An integer is divisible by 8
 if the last three digits are divisible by 
$8$ . 
.)

Example: 1848 as last 3 digits are divisible by 8

$104$ ).

Divisibility by 
$9$

An integer is divisible by 
$9$ if the sum of the digits is divisible by 
$9$ .

Example: 765 as 7+6+5 = 18 which is divisible by 18

 not divisible by 

9 divisible b

Divisibility by 10$10$

An integer is divisible by 
$10$ if the last digit is 0

Example: 10000,25400,87650,9765430...

.