195 LearnersLast updated on May 26th, 2025
Divisibility Rule of 383
The divisibility rule is a way to determine whether a number is divisible by another number without directly performing division. In real life, divisibility rules can be used for quick calculations, distributing items evenly, and organizing things efficiently. In this topic, we will learn about the divisibility rule of 383.
What is the Divisibility Rule of 383?
The divisibility rule for 383 is a method by which we can determine if a number is divisible by 383 without performing division. Let's check whether 76513 is divisible by 383 using this rule.
Step 1: Multiply the last digit of the number by 3. For 76513, the last digit is 3, so multiply it by 3: 3 × 3 = 9.
Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. Thus, 7651 – 9 = 7642.
Step 3: Check if the result (7642) is divisible by 383. If it is, then the original number is also divisible by 383. Since 7642 is not divisible by 383, 76513 is not divisible by 383.
Tips and Tricks for Divisibility Rule of 383
Learning the divisibility rule can help students master division. Here are a few tips and tricks for the divisibility rule of 383:
- Know the multiples of 383: Memorize the multiples of 383 (383, 766, 1149, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 383, then the number is divisible by 383.
- Consider negative numbers: If the result after subtraction is negative, ignore the negative sign and consider it positive when checking divisibility.
- Repeat the process for large numbers: When dealing with large numbers, continue applying the divisibility process until reaching a smaller number that can be easily checked for divisibility by 383. For instance, to check if 194632 is divisible by 383, multiply the last digit by 3: 2 × 3 = 6. Subtract this from the remaining digits: 19463 – 6 = 19457. Repeat the process: 7 × 3 = 21, 1945 – 21 = 1924. Since 1924 is not divisible by 383, 194632 is not divisible by 383.
- Use the division method to verify: Use the division method to cross-check and verify results. This helps confirm the divisibility and aids learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 383
The divisibility rule of 383 helps us quickly check if a number is divisible by 383, but errors can occur. Here are some common mistakes and how to avoid them:
Mistake 1
Not following the correct steps.
Follow the correct steps: multiply the last digit by 3, subtract from the remaining digits, and check for divisibility by 383.
Mistake 2
Including the last digit in subtraction.
Exclude the last digit from the remaining digits when subtracting.
Mistake 3
Not repeating the process when the result is large.
Continue the process until you get a smaller number that can be checked for divisibility by 383.
Mistake 4
Not considering negative values.
Treat negative values as positive when checking divisibility.
Mistake 5
Confusing the steps.
Practice regularly to avoid confusion and remember the steps.
Divisibility Rule of 383 Examples
Problem 1
Is 1149 divisible by 383?
Yes, 1149 is divisible by 383.
Explanation
To determine if 1149 is divisible by 383, we perform the division directly. 1149 divided by 383 equals 3 exactly, with no remainder.
Problem 2
Check the divisibility rule of 383 for 766.
Yes, 766 is divisible by 383.
Explanation
To check divisibility, divide 766 by 383. The result is exactly 2, with no remainder, indicating that 766 is divisible by 383.
Problem 3
Is -1915 divisible by 383?
No, -1915 is not divisible by 383.
Explanation
Ignoring the negative sign, when we divide 1915 by 383, the quotient is approximately 5 with a remainder, indicating that 1915 is not divisible by 383.
Problem 4
Can 2301 be divisible by 383?
No, 2301 is not divisible by 383.
Explanation
Dividing 2301 by 383 gives a quotient with a remainder, indicating that 2301 is not divisible by 383.
Problem 5
Check the divisibility rule of 383 for 4596.
Yes, 4596 is divisible by 383.
Explanation
To check for divisibility, divide 4596 by 383. This division results in an integer quotient of 12, confirming that 4596 is divisible by 383.
FAQs on Divisibility Rule of 383
1.What is the divisibility rule for 383?
2.How many numbers are there between 1 and 1000 that are divisible by 383?
3.Is 383 divisible by 383?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 383 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 383?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 383 with numbers?
8.What role do numbers and Divisibility Rule of 383 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 383 skills?
Important Glossaries for Divisibility Rule of 383
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without direct division.
- Multiples: The results obtained by multiplying a number by integers. For example, multiples of 383 include 383, 766, and 1149.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one from the other.
- Cross-check: Verifying results using an alternative method, such as division, to ensure accuracy.
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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.
