192 LearnersLast updated on May 26th, 2025
Divisibility Rule of 381
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 381.
What is the Divisibility Rule of 381?
The divisibility rule for 381 is a method by which we can find out if a number is divisible by 381 or not without using the division method. Check whether 762 is divisible by 381 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 762, 2 is the last digit. Multiply it by 2. 2 × 2 = 4
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 76 - 4 = 72.
Step 3: As 72 is not a multiple of 381, the number is not divisible by 381. If the result from step 2 were a multiple of 381, then the number would be divisible by 381.
Tips and Tricks for Divisibility Rule of 381
Learning the divisibility rule will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 381.
- Know the multiples of 381: Memorize the multiples of 381 (381, 762, 1143, 1524…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 381, then the number is divisible by 381.
- Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 381. For example: Check if 1143 is divisible by 381 using the divisibility test. Multiply the last digit by 2, i.e., 3 × 2 = 6. Subtract the remaining digits excluding the last digit by 6, 114 - 6 = 108.
Still, 108 is not a multiple of 381, so 1143 is not divisible by 381.
- 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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 381
The divisibility rule of 381 helps us to quickly check if the given number is divisible by 381, but common mistakes like calculation errors lead to incorrect calculations. 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 that are multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 381.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 381.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps, to avoid the error students should practice regularly.
Divisibility Rule of 381 Examples
Problem 1
Is 762 divisible by 381?
Yes, 762 is divisible by 381.
Explanation
To check the divisibility of 762 by 381, we can do a straightforward division.
1) Divide 762 by 381, and you get 2 with no remainder.
2) Since there is no remainder, 762 is divisible by 381.
Problem 2
Check the divisibility rule of 381 for 1143.
Yes, 1143 is divisible by 381.
Explanation
For checking the divisibility of 1143 by 381, divide 1143 by 381.
1) Perform the division: 1143 ÷ 381 = 3 with no remainder.
2) Since the division results in an integer with no remainder, 1143 is divisible by 381.
Problem 3
Is 381 divisible by 381?
Yes, 381 is divisible by 381.
Explanation
Any number is divisible by itself.
1) Divide 381 by 381, and the result is 1.
2) Since 1 is an integer and there is no remainder, 381 is divisible by 381.
Problem 4
Can 1524 be divisible by 381 following the divisibility rule?
Yes, 1524 is divisible by 381.
Explanation
To check if 1524 is divisible by 381, divide 1524 by 381.
1) Perform the division: 1524 ÷ 381 = 4 with no remainder.
2) As the division results in an integer with no remainder, 1524 is divisible by 381.
Problem 5
Check the divisibility rule of 381 for 1905.
No, 1905 is not divisible by 381.
Explanation
To check the divisibility of 1905 by 381, perform the division.
1) Divide 1905 by 381, which gives approximately 5 with a remainder.
2) Since there is a remainder, 1905 is not divisible by 381.
FAQs on Divisibility Rule of 381
1.What is the divisibility rule for 381?
2.How many numbers are there between 1 and 1000 that are divisible by 381?
3.Is 762 divisible by 381?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 381 apply to all the integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 381?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 381 with numbers?
8.What role do numbers and Divisibility Rule of 381 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 381 skills?
Important Glossaries for Divisibility Rule of 381
- 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 381 are 381, 762, 1143, 1524, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of using an alternative method, such as division, to confirm the results obtained from the divisibility rule.
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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.
