163 LearnersLast updated on May 26th, 2025
Divisibility Rule of 912
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 912.
What is the Divisibility Rule of 912?
The divisibility rule for 912 is a method by which we can find out if a number is divisible by 912 or not without using the division method. Check whether 2736 is divisible by 912 with the divisibility rule.
Step 1: Check if the number is divisible by 9. Add all the digits of the number and see if the sum is divisible by 9. For 2736, the sum is 2+7+3+6=18, which is divisible by 9.
Step 2: Check if the number is divisible by 12. The number must be divisible by both 3 and 4. For divisibility by 3, the sum of the digits (18) must be divisible by 3, which it is. For divisibility by 4, the last two digits, 36, must be divisible by 4, which they are.
Since 2736 is divisible by both 9 and 12, it is also divisible by 912.
Tips and Tricks for Divisibility Rule of 912
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 912.
Know the multiples of 912:
Memorize the multiples of 912 (912, 1824, 2736, etc.) to quickly check divisibility. If the number is a multiple of 912, it is divisible by 912.
Use the properties of divisibility:
Ensure the number meets the criteria for divisibility by both 9 and 12, as described in the steps.
Repeat the process for large numbers:
Students should keep repeating the divisibility process by checking divisibility by 9 and 12 until they confirm the number's divisibility by 912. For example: Check if 5472 is divisible by 912 using the divisibility test. Add the digits: 5+4+7+2=18, which is divisible by 9. Check divisibility by 12: 18 is divisible by 3, and the last two digits 72 are divisible by 4. Therefore, 5472 is divisible by 912.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 912
The divisibility rule of 912 helps us quickly check if the given number is divisible by 912, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, checking divisibility by 9 and then ensuring divisibility by 12.
Mistake 2
Forgetting to check both 9 and 12.
Students should always remember to verify divisibility by both 9 and 12.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have checked the first set of criteria. The process should be repeated until we confirm the number is divisible by 912.
Mistake 4
Confusing the steps
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Mistake 5
Divisibility Rule of 912 Examples
Problem 1
Is 2736 divisible by 912?
Yes, 2736 is divisible by 912.
Explanation
To verify divisibility by 912, consider the following:
1) Divide the number by 912 directly to see if there is a remainder.
2) 2736 ÷ 912 = 3 with no remainder.
3) Since there is no remainder, 2736 is divisible by 912.
Problem 2
Check the divisibility rule of 912 for 4560.
No, 4560 is not divisible by 912.
Explanation
To determine if 4560 is divisible by 912, we follow these steps:
1) Divide the number directly by 912.
2) 4560 ÷ 912 ≈ 5.0000 with a remainder.
3) Since there is a remainder, 4560 is not divisible by 912.
Problem 3
Is -1824 divisible by 912?
Yes, -1824 is divisible by 912.
Explanation
Even with negative numbers, check divisibility by removing the negative sign:
1) Consider 1824 and divide it by 912.
2) 1824 ÷ 912 = 2 with no remainder.
3) Since there is no remainder, -1824 is divisible by 912.
Problem 4
Can 1234 be divisible by 912 following the divisibility rule?
No, 1234 is not divisible by 912.
Explanation
To check if 1234 is divisible by 912, use direct division:
1) Divide 1234 by 912.
2) 1234 ÷ 912 ≈ 1.352 with a remainder.
3) Since there is a remainder, 1234 is not divisible by 912.
Problem 5
Check the divisibility rule of 912 for 5472.
Yes, 5472 is divisible by 912.
Explanation
To check divisibility by 912:
1) Divide 5472 by 912.
2) 5472 ÷ 912 = 6 with no remainder.
3) As there is no remainder, 5472 is divisible by 912.
FAQs on Divisibility Rule of 912
1.What is the divisibility rule for 912?
2. How many numbers are there between 1 and 10000 that are divisible by 912?
3.Is 1824 divisible by 912?
4.What if I get 0 after checking the divisibility by 9 and 12?
5. Does the divisibility rule of 912 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 912?
7.What are some fun ways kids in United States can practice Divisibility Rule of 912 with numbers?
8.What role do numbers and Divisibility Rule of 912 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 912 skills?
Important Glossaries for Divisibility Rule of 912
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 912 are 912, 1824, 2736, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Addition: The process of calculating the total of two or more numbers or amounts.
- Divisibility: A property that determines if one number can be divided by another without a remainder.
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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.
