Last updated on May 26th, 2025
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.
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.
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.
Is 1584 divisible by 132?
Yes, 1584 is divisible by 132.
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.
Check the divisibility rule of 132 for 2640.
Yes, 2640 is divisible by 132.
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.
Is 198 divisible by 132?
No, 198 is not divisible by 132.
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.
Can 396 be divisible by 132 following the divisibility rule?
Yes, 396 is divisible by 132.
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.
Check the divisibility rule of 132 for 792.
Yes, 792 is divisible by 132.
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.
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.
: She loves to read number jokes and games.