##
**Divisibility**

###
• __Divisibility:__– This is the best way to predict whether any number is divisible by any other whole number or not without doing calculation.

__Divisibility:__

###
**Test of Divisibility of 2** :-

**Test of Divisibility of 2**:-If any number ends with an even number

###
**Test of Divisibility of 3** :-

**Test of Divisibility of 3**:-###
**Test of Divisibility of 4 :**–

**Test of Divisibility of 4 :**–###
**Test of Divisibility of 5** :-

**Test of Divisibility of 5**:-###
**Test of Divisibility of 6 :-**

**Test of Divisibility of 6 :-**###
**Test of Divisibility of 8** :-

**Test of Divisibility of 8**:-###
**Test of Divisibility of 9 **:-

**Test of Divisibility of 9**:-###
**Test of Divisibility of 10 :**–

**Test of Divisibility of 10 :**–###
**Test of Divisibility of 7 :-**

**Test of Divisibility of 7 :-**Example: 826. Twice 6 is 12. So take 12 from the truncated 82. Now 82-12=70. This is divisible by 7, so 826 is divisible by 7 also.

There are similar rules for the remaining primes under 50, i.e. 11,13, 17,19,23,29,31,37,41,43 and 47.

###
**Test for divisibility by 11:- **

**Test for divisibility by 11:-**
Subtract the last digit from the remaining leading truncated number. If the result is divisible by 11, then so was the first number. Apply this rule over and over again as necessary.

Example: 19151–> 1915-1 =1914 –>191-4=187 –>18-7=11, so yes, 19151 is divisible by 11.

###
**Test for divisibility by 13**.

**Test for divisibility by 13**.Add four times the last digit to the remaining leading truncated number. If the result is divisible by 13, then so was the first number. Apply this rule over and over again as necessary.

Example: 50661–>5066+4=5070–>507+0=507–>50+28=78 and 78 is 6*13, so 50661 is divisible by 13.

###
**Test for divisibility by 17**.

**Test for divisibility by 17**.Subtract five times the last digit from the remaining leading truncated number. If the result is divisible by 17, then so was the first number. Apply this rule over and over again as necessary.

Example: 3978–>397-5*8=357–>35-5*7=0. So 3978 is divisible by 17.

###
**Test for divisibility by 19**.

**Test for divisibility by 19**.Add two times the last digit to the remaining leading truncated number. If the result is divisible by 19, then so was the first number. Apply this rule over and over again as necessary.

example : 101156–>10115+2*6=10127–>1012+2*7=1026–>102+2*6=114 and 114=6*19, so 101156 is divisible by 19.

__Divisibility.__If you are any doubts and if you have suggestions then comment under this article.

Thank you,

(function(i,s,o,g,r,a,m){i[‘GoogleAnalyticsObject’]=r;i[r]=i[r]||function(){

(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),

m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)

})(window,document,’script’,’https://www.google-analytics.com/analytics.js’,’ga’);

ga(‘create’, ‘UA-99653220-1’, ‘auto’);

ga(‘send’, ‘pageview’);

## 1 Comment