100 LearnersLast updated on May 26th, 2025
Divisibility Rule of 12
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 12.
What is the Divisibility Rule of 12?
The divisibility rule for 12 is a method by which we can find out if a number is divisible by 12 or not without using the division method. Check whether 264 is divisible by 12 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of the number: 2 + 6 + 4 = 12. Since 12 is divisible by 3, proceed to the next step.
Step 2: Check if the number is divisible by 4. Look at the last two digits of the number: 64. Since 64 is divisible by 4, the whole number is divisible by 12.
Step 3: If both conditions are met, the number is divisible by 12.
Tips and Tricks for Divisibility Rule of 12
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 12.
Know the multiples of 12:
Memorize the multiples of 12 (12, 24, 36, 48, 60…etc.) to quickly check divisibility.
Use the divisibility rules of 3 and 4:
Ensure the number is divisible by both 3 and 4 to confirm divisibility by 12.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 3 and 4.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 12
The divisibility rule of 12 helps us quickly check if a given number is divisible by 12, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, checking divisibility by 3 and then by 4.
Divisibility Rule of 12 Examples
Problem 1
Determine if 264 is divisible by 12.
Yes, 264 is divisible by 12.
Explanation
To check divisibility by 12, a number must be divisible by both 3 and 4.
1) For divisibility by 3, sum the digits: 2 + 6 + 4 = 12. Since 12 is divisible by 3, 264 passes the first test.
2) For divisibility by 4, check the last two digits: 64. Since 64 is divisible by 4, 264 passes the second test.
Therefore, 264 is divisible by 12.
Problem 2
Verify if 528 is divisible by 12.
Yes, 528 is divisible by 12.
Explanation
We apply the divisibility rules for 3 and 4.
1) For divisibility by 3, sum the digits: 5 + 2 + 8 = 15. Since 15 is divisible by 3, 528 passes the first test.
2) For divisibility by 4, check the last two digits: 28. Since 28 is divisible by 4, 528 passes the second test.
Therefore, 528 is divisible by 12.
Problem 3
Is 1452 divisible by 12?
No, 1452 is not divisible by 12.
Explanation
We check the divisibility by both 3 and 4.
1) For divisibility by 3, sum the digits: 1 + 4 + 5 + 2 = 12. Since 12 is divisible by 3, 1452 passes the first test.
2) For divisibility by 4, check the last two digits: 52. Since 52 is not divisible by 4, 1452 fails the second test.
Therefore, 1452 is not divisible by 12.
Problem 4
Can 372 be divisible by 12?
Yes, 372 is divisible by 12.
Explanation
We apply the divisibility rules for 3 and 4.
1) For divisibility by 3, sum the digits: 3 + 7 + 2 = 12. Since 12 is divisible by 3, 372 passes the first test.
2) For divisibility by 4, check the last two digits: 72. Since 72 is divisible by 4, 372 passes the second test.
Therefore, 372 is divisible by 12.
Problem 5
Check if 910 is divisible by 12.
No, 910 is not divisible by 12.
Explanation
We need to check divisibility by both 3 and 4.
1) For divisibility by 3, sum the digits: 9 + 1 + 0 = 10. Since 10 is not divisible by 3, 910 fails the first test.
2) Even if it fails the first test, let's check for divisibility by 4: the last two digits are 10. Since 10 is not divisible by 4, 910 fails the second test as well.
Therefore, 910 is not divisible by 12.
FAQs on Divisibility Rule of 12
1.What is the divisibility rule for 12?
2.How many numbers are there between 1 and 100 that are divisible by 12?
3.Is 36 divisible by 12?
4.What if I get 0 after checking divisibility by 3 and 4?
5.Does the divisibility rule of 12 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 12?
7.What are some fun ways kids in India can practice Divisibility Rule of 12 with numbers?
8.What role do numbers and Divisibility Rule of 12 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 12 skills?
Important Glossaries for Divisibility Rule of 12
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 12 are 12, 24, 36, 48...
- Digits: Digits are the individual numbers that make up a larger number. For example, in 264, the digits are 2, 6, and 4.
- Sum: The sum is the result of adding numbers together. For example, the sum of the digits in 264 is 2 + 6 + 4 = 12.
- Divisible: A number is divisible by another number if it can be divided by that number without
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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.
