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 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.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 12.
Memorize the multiples of 12 (12, 24, 36, 48, 60…etc.) to quickly check divisibility.
Ensure the number is divisible by both 3 and 4 to confirm divisibility by 12.
Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 3 and 4.
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.
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.
Determine if 264 is divisible by 12.
Yes, 264 is divisible by 12.
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.
Verify if 528 is divisible by 12.
Yes, 528 is divisible by 12.
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.
Is 1452 divisible by 12?
No, 1452 is not divisible by 12.
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.
Can 372 be divisible by 12?
Yes, 372 is divisible by 12.
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.
Check if 910 is divisible by 12.
No, 910 is not divisible by 12.
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.
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.