167 LearnersLast updated on May 26th, 2025
Divisibility Rule of 382
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 382.
What is the Divisibility Rule of 382?
The divisibility rule for 382 is a method by which we can find out if a number is divisible by 382 or not without using the division method. Check whether 764 is divisible by 382 with the divisibility rule.
Step 1: Double the number you get when you divide the number by 2 (half the number). For 764, half of it is 382.
Step 2: Check if the doubled number equals the original number. Since 2 × 382 = 764, 764 is divisible by 382.
Tips and Tricks for Divisibility Rule of 382
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 382.
- Know the multiples of 382: Memorize the multiples of 382 (382, 764, 1146, etc.) to quickly check divisibility. If the double of the halved number equals the original number, then the number is divisible by 382.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 382. For example, check if 1528 is divisible by 382 using the divisibility test. Divide 1528 by 2 to get 764. Since 764 is divisible by 382, 1528 is also divisible by 382.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 382
The divisibility rule of 382 helps us quickly check if the given number is divisible by 382, but common mistakes like calculation errors can lead to incorrect calculations. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are dividing the number by 2 and then checking if doubling the result equals the original number.
Divisibility Rule of 382 Examples
Problem 1
Can 764 be divisible by 382?
Yes, 764 is divisible by 382.
Explanation
To check if 764 is divisible by 382, follow these steps:
1) Double the last digit: 4 × 2 = 8.
2) Subtract from the remaining number: 76 - 8 = 68.
3) Check if the result is a multiple of 382. Since 68 is not a multiple of 382, the initial division check was incorrect, indicating the mistake in the process or initial assumption.
Problem 2
Is 1146 divisible by 382?
Yes, 1146 is divisible by 382.
Explanation
To determine if 1146 is divisible by 382:
1) Double the last digit: 6 × 2 = 12.
2) Subtract from the remaining number: 114 - 12 = 102.
3) Check if 102 is a multiple of 382. Since 102 is not a multiple of 382, the initial division check was incorrect, indicating a conceptual mistake in the scenario setup.
Problem 3
Check if 2292 is divisible by 382.
Yes, 2292 is divisible by 382.
Explanation
To verify if 2292 is divisible by 382:
1) Double the last digit: 2 × 2 = 4.
2) Subtract from the remaining number: 229 - 4 = 225.
3) Check if 225 is a multiple of 382. Since 225 is not a multiple of 382, there seems to be a miscalculation or scenario error.
Problem 4
Is 573 divisible by 382?
No, 573 is not divisible by 382.
Explanation
To check if 573 is divisible by 382:
1) Double the last digit: 3 × 2 = 6.
2) Subtract from the remaining number: 57 - 6 = 51.
3) Check if 51 is a multiple of 382. No, 51 is not a multiple of 382, confirming 573 is not divisible by 382.
Problem 5
Verify if 7640 is divisible by 382.
Yes, 7640 is divisible by 382.
Explanation
To confirm divisibility of 7640 by 382:
1) Double the last digit: 0 × 2 = 0.
2) Subtract from the remaining number: 764 - 0 = 764.
3) Check if 764 is a multiple of 382. Yes, 764 is a multiple of 382, verifying that 7640 is divisible by 382.
FAQs on Divisibility Rule of 382
1.What is the divisibility rule for 382?
2.How many numbers are there between 1 and 2000 that are divisible by 382?
3.Is 764 divisible by 382?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 382 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 382?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 382 with numbers?
8.What role do numbers and Divisibility Rule of 382 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 382 skills?
Important Glossaries for Divisibility Rule of 382
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without performing division.
- Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 382 are 382, 764, 1146, etc.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is the process of determining how many times one number is contained within another.
- Verification: The process of ensuring the accuracy of mathematical calculations or results.
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About BrightChamps in Qatar
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.
