Formula Related to Division

• Dividend = 46
• Divisor = 5
• Quotient = 9
• Remainder = 1

Test of Divisibility of Numbers

Divisible by 2 : If the last digit of the number is even. 

Example : 242, 306, 488, 500.  

Divisible by 3 : If the sum of the digit of a number is  divisible by 3. 

Example : 243 is divisible by 3, as 2 + 4 + 3 = 9, 9 is divisible  by 3.  

Divisible by 4 : If the last two digits of the number is  divisible by 4.  

Example : 1424 is divisible by 4, as 24 is divisible by 4.  

Divisible by 5 : If the last digit of a number is either 5 or 0. 

Example : 375, 3460 etc.  

Divisible by 6 : If the number is divisible by both 2 and 3. 

Example : 786 isdivisibleby 6, as it isdivisibleby both 2 and 3.  

Divisible by 8 : If the last three digits of the number is  divisible by 8. 

Example : 48320 is divisible by 8 as 320 is divisible by 8.  

Divisible by 9 : If the sum of the digits is divisible by 9.  

Example : 4554 is divisible by 9, as 4 + 5 + 5 + 4 = 18,  18 is  divisible by 9.  

Divisible by 10 : If the unit digit of the number is 0. 

Example : 540, 1860, 2370, etc.  

Divisible by 11 : If the sum of digits at odd and even place  are equal or differ by a number divisible by 11.  

Example : 2865423  Here, sum of digits at odd places =  2 + 6 + 4 + 3 = 15  and

2865423 = sum of digits at even places = 8 + 5 + 2 = 15  

Since, sum of digits at odd and even places are equal,  therefore the number is divisible by 11.

Note : Digit Place count Left to Right

Divisible by 12 : If the number is divisible by both 3 and 4. 

Example : 48132 is divisible by 12, as it satisfies the condition  of divisibility by 4 and 3.

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