# Tips-And-Tricks-And-Shortcuts To Solve Divisibility

## Tips and Tricks  and Shortcuts for Divisibility

The divisibility rule is the shorthand method of determining weather a number divisible by fixed divisor.
• Rule for 2
The number on divisible for 2 when the number is ending with 2,4,6,8.
• Rule for 3
If the sum of digit is divisible by 3 than the number is divisible by 3.
• Rule for 4
If the last two digit is divisible by 4, than the number is divisible by 4.
• Rule for 5
Number is divisible by 5 if the last digit is 0 or 5.
• Rule for 6
A number is divisible by if number is divisible by 2 AND 3.
• Rule for 8
If the last 3 number is divisible by 8 than the number is divisible by 8
• Rule for 9
Same as divisibility of 3.
• Rule for 10
If the last digit is 0 than the number is divisible by 10.
##### Note :- By using Tips and Tricks and Shortcuts for Divisibility Ques can solved easily ## Type 1:Find the largest or smallest number

### Question 1.

Find the smallest 4 digit number which is exactly divisible by 41?

Options.

1. 1000
2. 1023
3. 1025
4. 1012

#### Solution

Smallest 4 digit number is 1000

On dividing 1000 by 41, remainder = 16

Required number = 1000 + (41 – 16) = 1025

## Type 2:Which of the following numbers is/or not divisible by given number.

### Question 1.

Which of these numbers is divisible by 3?

Options.

1. 1003
2. 253
3. 1031
4. 1221

#### Solution

Solution: 1003 = 1 + 0 + 0 + 3 = 4, 4 is not divisible by 3

253 = 2 + 5 + 3 = 10, 10 is not divisible by 3

1031 = 1 + 0 + 3 + 1 = 5, 5 is not divisible by 3

1221 = 1 +2 + 2 + 1= 6, 6 is divisible by 3

## Type 3: Tips and Tricks to Solve Divisibility Questions.Find the remainder

### Question 1.

Find out the remainder of 212/5

Options.

1. 1
2. 2
3. 0
4. 3

#### Solution

Convert the base in power

24*24*2= 16 * 16 * 16

Now divide each number by 5

On dividing 16 by 5 we get remainder as 1

Now, multiply all the remainders 1 * 1 * 1 = 1