204 LearnersLast updated on May 26th, 2025
Divisibility Rule of 132
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 132.
What is the 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.
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Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 132
The divisibility rule of 132 helps us quickly check if a given number is divisible by 132, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following all the divisibility checks.
Ensure to check divisibility by 3, 4, and 11, as a number must meet all three criteria to be divisible by 132.
Mistake 2
Incorrect calculation of sums.
Carefully add the digits when checking for divisibility by 3 and calculate the sums of alternating digits correctly for 11.
Mistake 3
Forgetting to check for 4 using last two digits.
Always remember to verify divisibility by 4 using the last two digits of the number.
Mistake 4
Confusing the steps.
Students often confuse or forget the steps; regular practice will help avoid errors.
Mistake 5
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Divisibility Rule of 132 Examples
Problem 1
Is 1584 divisible by 132?
Yes, 1584 is divisible by 132.
Explanation
To check if 1584 is divisible by 132, we need to check divisibility by 4, 3, and 11.
1) Check divisibility by 4: the last two digits, 84, are divisible by 4.
2) Check divisibility by 3: the sum of the digits, 1 + 5 + 8 + 4 = 18, is divisible by 3.
3) Check divisibility by 11: alternating sum and difference of the digits, 1 - 5 + 8 - 4 = 0, is divisible by 11.
Since 1584 is divisible by 4, 3, and 11, it is divisible by 132.
Problem 2
Check the divisibility rule of 132 for 2640.
Yes, 2640 is divisible by 132.
Explanation
To check if 2640 is divisible by 132, we need to verify divisibility by 4, 3, and 11.
1) Check divisibility by 4: the last two digits, 40, are divisible by 4.
2) Check divisibility by 3: the sum of the digits, 2 + 6 + 4 + 0 = 12, is divisible by 3.
3) Check divisibility by 11: alternating sum and difference of the digits, 2 - 6 + 4 - 0 = 0, is divisible by 11.
Since 2640 is divisible by 4, 3, and 11, it is divisible by 132.
Problem 3
Is 198 divisible by 132?
No, 198 is not divisible by 132.
Explanation
To determine if 198 is divisible by 132, check divisibility by 4, 3, and 11.
1) Check divisibility by 4: the last two digits, 98, are not divisible by 4.
2) Check divisibility by 3: the sum of the digits, 1 + 9 + 8 = 18, is divisible by 3.
3) Check divisibility by 11: alternating sum and difference of the digits, 1 - 9 + 8 = 0, is divisible by 11.
198 is divisible by 3 and 11 but not by 4, so it is not divisible by 132.
Problem 4
Can 396 be divisible by 132 following the divisibility rule?
Yes, 396 is divisible by 132.
Explanation
To check if 396 is divisible by 132, verify divisibility by 4, 3, and 11.
1) Check divisibility by 4: the last two digits, 96, are divisible by 4.
2) Check divisibility by 3: the sum of the digits, 3 + 9 + 6 = 18, is divisible by 3.
3) Check divisibility by 11: alternating sum and difference of the digits, 3 - 9 + 6 = 0, is divisible by 11.
Since 396 is divisible by 4, 3, and 11, it is divisible by 132.
Problem 5
Check the divisibility rule of 132 for 792.
Yes, 792 is divisible by 132.
Explanation
To determine if 792 is divisible by 132, check divisibility by 4, 3, and 11.
1) Check divisibility by 4: the last two digits, 92, are divisible by 4.
2) Check divisibility by 3: the sum of the digits, 7 + 9 + 2 = 18, is divisible by 3.
3) Check divisibility by 11: alternating sum and difference of the digits, 7 - 9 + 2 = 0, is divisible by 11.
Since 792 is divisible by 4, 3, and 11, it is divisible by 132.
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FAQs on Divisibility Rule of 132
1.What is the divisibility rule for 132?
2.How many numbers are there between 1 and 1000 that are divisible by 132?
3.Is 528 divisible by 132?
4.What if I get 0 after the divisibility check for 11?
5.Does the divisibility rule of 132 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 132?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 132 with numbers?
8.What role do numbers and Divisibility Rule of 132 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 132 skills?
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Important Glossaries for Divisibility Rule of 132
- 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.
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About BrightChamps in Bahrain
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
