Find if a Number is Divisible by 22

Given here is the tutorial explaining the shortcut method to determine if the given number is divisible by 22. Using divisibility rule for 22, you can determine if the number is divisible by 22 without performing the division operation. The rule states that, 'if the number satisfies the divisibility rules of 2 and 11, it is divisible by 22'.

Divisibility Rule for 22

Rule 1:

Check whether the last digit is divisible by 2. Then the sum of the even digits are subtracted from the sum of the odd digits. If the result is '0', then the original number is also divisible by 22.

Example 1:

Find if the number 760672 is divisible by 22.

Solution :

Applying the divisibility rule for 22,

Step 1:

The divisibility condition for number 2 is, the last digit in the given number should ends in 0, 2, 4, 6 or 8. Therefore, here the last digit of the number is 2. Hence it is divisible by 2

Step 2:

The sum of the even digits are subtracted from the sum of the odd digits. The result should be either '0 ' or divisible by '11'.

(i.e) (6+6+2) - (7+0+7) = 0

Step 3:

In the above condition, it results in 0. Therefore, the original number 760672 is divisible by 22

Rule 2:

Check whether the number is divisible by 11, if it is, then the original number is also divisible by 22.

Example 2:

Let us consider the number 143 and find if it is divisible by 22.

Solution :
Step 1:

Check whether the number 143 is divisible by 11

11 x 13 = 143

Since, the number 143 is divisible by 11, it is also divisible by 22.


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