196 LearnersLast updated on May 26th, 2025
Divisibility Rule of 771
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division. In real life, divisibility rules help with quick math, dividing things evenly, and sorting items. Here, we will learn about the divisibility rule of 771.
What is the Divisibility Rule of 771?
The divisibility rule for 771 is a method to check if a number is divisible by 771 without performing division. Let's check whether 1542 is divisible by 771 using this rule.
Step 1: Multiply the last digit of the number by 2. In 1542, 2 is the last digit. Multiply it by 2. 2 × 2 = 4
Step 2: Subtract the result from Step 1 from the remaining digits, but do not include the last digit. i.e., 154 - 4 = 150.
Step 3: If the result is a multiple of 771, then the number is divisible by 771. If the result is not a multiple of 771, then the number is not divisible by 771.
Tips and Tricks for Divisibility Rule of 771
Learning the divisibility rule helps kids master division. Here are some tips and tricks for the divisibility rule of 771.
- Know the multiples of 771:
Memorize the multiples of 771 (771, 1542, 2313, 3084, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 771, then the number is divisible by 771.
- Use negative numbers:
If the result after subtraction is negative, ignore the sign and consider it positive for checking divisibility.
- Repeat the process for large numbers:
Repeat the divisibility process until reaching a small number that is divisible by 771.
For example, check if 3084 is divisible by 771 using the divisibility test. Multiply the last digit by 2, i.e., 4 × 2 = 8.
Subtract 8 from the remaining digits, excluding the last one, 308 - 8 = 300. Repeat the process: 0 × 2 = 0, 30 - 0 = 30. 30 is not a multiple of 771, so 3084 is not divisible by 771.
- Use the division method to verify:
Use the division method to verify and crosscheck results, reinforcing learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 771
The divisibility rule of 771 helps quickly check if a given number is divisible by 771, but common mistakes like calculation errors can lead to incorrect conclusions. Here we understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Always multiply the last digit by 2, subtract the result from the remaining digits excluding the last digit, and check whether it is a multiple of 771.
Mistake 2
Including the last digit in subtraction.
Exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Continue the process until reaching the smallest number that is divisible by 771.
Mistake 4
Not considering negative values.
Consider negative values as positive while checking divisibility.
Mistake 5
Confusing the steps.
Practice regularly to remember and execute the steps correctly.
Divisibility Rule of 771 Examples
Problem 1
Is 1542 divisible by 771?
Yes, 1542 is divisible by 771.
Explanation
For checking the divisibility rule of 771 for 1542, let's use a unique method:
1) Divide the number by 771, 1542 ÷ 771 = 2.
2) The result is an integer, which indicates that 1542 is divisible by 771.
Problem 2
Check the divisibility rule of 771 for 3084.
Yes, 3084 is divisible by 771.
Explanation
To see if 3084 is divisible by 771:
1) Divide the number by 771, 3084 ÷ 771 = 4.
2) The result is an integer, confirming that 3084 is divisible by 771.
Problem 3
Is 2313 divisible by 771?
Yes, 2313 is divisible by 771.
Explanation
To verify if 2313 is divisible by 771:
1) Divide the number by 771, 2313 ÷ 771 = 3.
2) The result is an integer, so 2313 is divisible by 771.
Problem 4
Can 1000 be divisible by 771 using the divisibility rule?
No, 1000 is not divisible by 771.
Explanation
To determine if 1000 is divisible by 771:
1) Divide the number by 771, 1000 ÷ 771 ≈ 1.297.
2) The result is not an integer, indicating that 1000 is not divisible by 771.
Problem 5
Check the divisibility rule of 771 for 6939.
Yes, 6939 is divisible by 771.
Explanation
To verify if 6939 is divisible by 771:
1) Divide the number by 771, 6939 ÷ 771 = 9.
2) The result is an integer, confirming that 6939 is divisible by 771.
FAQs on Divisibility Rule of 771
1.What is the divisibility rule for 771?
2.How many numbers are there between 1 and 5000 that are divisible by 771?
3.Is 2313 divisible by 771?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 771 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 771?
7.What are some fun ways kids in United States can practice Divisibility Rule of 771 with numbers?
8.What role do numbers and Divisibility Rule of 771 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 771 skills?
Important Glossaries for Divisibility Rule of 771
- Divisibility rule: A set of rules to determine if a number is divisible by another number without direct division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 771 are 771, 1542, 2313, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the correctness of a result, often by using an alternative method such as division.
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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.
