Divisibility Rule of 132

The divisibility rule for 132 is a method by which we can find out if a number is divisible by 132 or not without using the division method. To check whether 3960 is divisible by 132 with the divisibility rule, follow these steps:

Step 1: Check if the number is divisible by 3. Add up all the digits of 3960: 3 + 9 + 6 + 0 = 18. Since 18 is divisible by 3, the number passes this step.

Step 2: Check if the number is divisible by 4. Look at the last two digits of 3960, which are 60. Since 60 is divisible by 4, the number passes this step.

Step 3: Check if the number is divisible by 11. Subtract the sum of the digits in odd positions from the sum of the digits in even positions: (3 + 6) - (9 + 0) = 9 - 9 = 0. Since the result is 0, it is divisible by 11.

Since 3960 passes all three checks, it is divisible by 132.

Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 132.

• Memorize the divisibility rules for 3, 4, and 11: This helps quickly check the divisibility of any number by 132.
   
• Use the process for large numbers: For large numbers, break them into smaller parts and check each part separately using the divisibility rules for 3, 4, and 11.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results, which will help them to verify and also learn.

• Divisibility Rule: The set of rules used to find out whether a number is divisible by another number without performing division.
   
• Multiples: These are the results obtained when a number is multiplied by an integer. For example, multiples of 132 are 132, 264, 396, etc.
   
• Sum of Digits: The total obtained by adding all the digits in a number, used in divisibility rules for 3 and 9.
   
• Alternating Sum: A technique used in the divisibility rule for 11, where the sum of digits in odd positions is subtracted from the sum of digits in even positions.
   
• Verification: The process of checking results using another method, such as actual division, to ensure accuracy.