210 LearnersLast updated on May 26th, 2025
Divisibility Rule of 308
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 308.
What is the Divisibility Rule of 308?
The divisibility rule for 308 is a method by which we can find out if a number is divisible by 308 or not without using the division method. Check whether 924 is divisible by 308 with the divisibility rule.
Step 1: Recognize that 308 is composed of the prime factors 2, 2, 7, and 11. Thus, a number divisible by 308 must be divisible by 2, 2, 7, and 11.
Step 2: Check divisibility by 4 (2 times 2): The last two digits of 924 form 24, which is divisible by 4.
Step 3: Check divisibility by 7: Subtract twice the last digit from the rest of the number. For 924, 4 × 2 = 8, and 92 - 8 = 84, which is divisible by 7.
Step 4: Check divisibility by 11: Alternately subtract and add the digits. For 924, 9 - 2 + 4 = 11, which is divisible by 11.
Since 924 is divisible by 4, 7, and 11, it is divisible by 308.
Tips and Tricks for Divisibility Rule of 308
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 308.
1. Know the multiples of 308:
Memorize some multiples of 308 (308, 616, 924, etc.) to quickly check divisibility. If the result from the checks is a multiple of 308, then the number is divisible by 308.
2. Use the prime factors:
Remember the prime factorization of 308 (2, 2, 7, 11) to break down the divisibility checks into simpler parts.
3. Repeat the process for large numbers:
For larger numbers, break them down and repeatedly apply the divisibility tests for 4, 7, and 11 until a conclusion is reached.
4. Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them confirm their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 308
The divisibility rule of 308 helps us quickly check if a given number is divisible by 308, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the steps of checking divisibility by 4, 7, and 11 correctly.
Mistake 2
Confusing the subtraction steps in the divisibility rule for 7.
Students should remember to subtract twice the last digit from the rest of the number when checking for 7.
Mistake 3
Forgetting to check all necessary factors.
Ensure all checks (for 4, 7, and 11) are completed before concluding.
Mistake 4
Not considering the properties of each factor.
Understand the unique properties of 4, 7, and 11 to apply their rules correctly.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; regular practice can help avoid this error.
Divisibility Rule of 308 Examples
Problem 1
Is 1232 divisible by 308?
No, 1232 is not divisible by 308.
Explanation
To check if 1232 is divisible by 308, we can use a direct division approach because 308 doesn’t have a simple small-factor divisibility rule. Dividing 1232 by 308 gives approximately 4.00, indicating it's not an integer, hence 1232 is not divisible by 308.
Problem 2
Check the divisibility rule of 308 for 1848
Yes, 1848 is divisible by 308.
Explanation
To check divisibility of 1848 by 308, divide 1848 by 308. The division yields exactly 6, which is an integer. Therefore, 1848 is divisible by 308.
Problem 3
Is 616 divisible by 308?
Yes, 616 is divisible by 308.
Explanation
For checking the divisibility of 616 by 308, divide 616 by 308. The result is exactly 2, which is an integer, so 616 is divisible by 308.
Problem 4
Can 924 be divisible by 308?
Yes, 924 is divisible by 308.
Explanation
To determine if 924 is divisible by 308, divide 924 by 308. The quotient is 3, which confirms that 924 is divisible by 308.
Problem 5
Check the divisibility rule of 308 for 1024.
No, 1024 is not divisible by 308.
Explanation
When checking the divisibility of 1024 by 308, divide 1024 by 308. The result is approximately 3.32, which is not an integer, hence 1024 is not divisible by 308.
FAQs on Divisibility Rule of 308
1.What is the divisibility rule for 308?
2.How many numbers are there between 1 and 1000 that are divisible by 308?
3. Is 924 divisible by 308?
4.What if I get 0 during any of the checks?
5.Does the divisibility rule of 308 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 308?
7.What are some fun ways kids in India can practice Divisibility Rule of 308 with numbers?
8.What role do numbers and Divisibility Rule of 308 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 308 skills?
Important Glossaries for Divisibility Rule of 308
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Prime factors: The prime numbers that multiply together to give a certain number. For example, the prime factors of 308 are 2, 2, 7, and 11.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 308 are 308, 616, 924, etc.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Integer: A whole number that can be positive, negative, or zero.
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About BrightChamps in India
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.
