The divisibility test for 12 helps quickly determine whether a number can be divided by 12 without a remainder. This test is particularly useful when simplifying large numbers in mathematical problems, as it saves time by avoiding long division. Understanding this rule can make working with multiples of 12 much easier.
Divisibility rule for 12 states that a number is divisible by 12 if it meets the following two conditions:
- Divisibility by 3: The sum of the digits of the number must be divisible by 3.
- Divisibility by 4: The last two digits of the number must form a number that is divisible by 4.
If the number satisfies both conditions, then the original number is divisible by 12.
Other Divisibility Rules:
Solved Examples on Divisibility Rule of 12
Example 1: Check if 1230 is divisible by 12
Solution:
- Check divisibility by 3: The sum of the digits is 1 + 2 + 3 + 0 = 6.
Since 6 is divisible by 3, 1230 is also divisible by 3.- Check divisibility by 4: The last two digits are 30.
Since 30 ÷ 4 = 7.530 (which is not a whole number), 1230 is not divisible by 4.Since 1230 is not divisible by 4, it is not divisible by 12.
Example 2: Check if 936 is divisible by 12
Solution:
- Check divisibility by 3: The sum of the digits is 9 + 3 + 6 = 18.
Since 18 is divisible by 3, 936 is also divisible by 3.- Check divisibility by 4: The last two digits are 36.
Since 36÷4=93 (which is a whole number), 936 is divisible by 4.Since 936 is divisible by both 3 and 4 , it is divisible by 12.
Also Check: Practice Questions on Divisibility Rules.
Worksheet on Divisibility by 12 Rule
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