173 LearnersLast updated on May 26th, 2025
Divisibility Rule of 271
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 271.
What is the Divisibility Rule of 271?
The divisibility rule for 271 is a method by which we can find out if a number is divisible by 271 or not without using the division method. Check whether 8131 is divisible by 271 with the divisibility rule.
Step 1: Multiply the last digit of the number by 25, here in 8131, 1 is the last digit, multiply it by 25. 1 × 25 = 25
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 813–25 = 788.
Step 3: As it is shown that 788 is not a multiple of 271, therefore, the number is not divisible by 271. If the result from step 2 is a multiple of 271, then the number is divisible by 271.
Tips and Tricks for Divisibility Rule of 271
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 271.
Know the multiples of 271:
Memorize the multiples of 271 (271, 542, 813, 1084, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 271, then the number is divisible by 271.
Use 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 271. For example: Check if 18819 is divisible by 271 using the divisibility test. Multiply the last digit by 25, i.e., 9 × 25 = 225. Subtract the remaining digits excluding the last digit by 225, 1881–225 = 1656. Still, 1656 is a large number, hence we will repeat the process again and multiply the last digit by 25, 6 × 25 = 150. Now subtracting 150 from the remaining numbers excluding the last digit, 165–150 = 15. As 15 is not a multiple of 271, 18819 is not divisible by 271.
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 271
The divisibility rule of 271 helps us quickly check if the given number is divisible by 271, 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 25 and then subtracting the result from the remaining digits excluding the last digits and checking whether it is a multiple of 271.
Divisibility Rule of 271 Examples
Problem 1
Is 542 divisible by 271?
Yes, 542 is divisible by 271.
Explanation
To check if 542 is divisible by 271, follow these steps:
1) Multiply the last two digits by 3, 42 × 3 = 126.
2) Subtract the result from the number formed by the remaining digits, 5 – 126 = -121.
3) Check if the absolute value of the result is a multiple of 271. Yes, 271 × 0 = 0, and the remainder of 0 indicates divisibility.
Problem 2
Is 813 divisible by 271?
No, 813 is not divisible by 271.
Explanation
To verify divisibility by 271:
1) Multiply the last two digits by 3, 13 × 3 = 39.
2) Subtract this result from the number formed by the remaining digits, 8 – 39 = -31.
3) Check if the absolute value of the result is a multiple of 271. No, -31 is not a multiple of 271.
Problem 3
Can 1084 be divisible by 271?
Yes, 1084 is divisible by 271.
Explanation
To determine divisibility:
1) Multiply the last two digits by 3, 84 × 3 = 252.
2) Subtract this from the number formed by the remaining digits, 10 – 252 = -242.
3) Check if the absolute value of the result is a multiple of 271. Yes, because 271 × (-1) + 29 = -242.
Problem 4
Check the divisibility rule of 271 for 2710.
Yes, 2710 is divisible by 271.
Explanation
Follow these steps:
1) Multiply the last two digits by 3, 10 × 3 = 30.
2) Subtract this result from the number formed by the remaining digits, 27 – 30 = -3.
3) Check if the absolute value of the result is a multiple of 271. Yes, 271 × 0 = 0, and the remainder of 0 indicates divisibility.
Problem 5
Is 1355 divisible by 271?
No, 1355 is not divisible by 271.
Explanation
To check divisibility:
1) Multiply the last two digits by 3, 55 × 3 = 165.
2) Subtract the result from the number formed by the remaining digits, 13 – 165 = -152.
3) Check if the absolute value of the result is a multiple of 271. No, -152 is not a multiple of 271.
FAQs on Divisibility Rule of 271
1.What is the divisibility rule for 271?
2.How many numbers are there between 1 and 1000 that are divisible by 271?
3.Is 1084 divisible by 271?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 271 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 271?
7.What are some fun ways kids in India can practice Divisibility Rule of 271 with numbers?
8.What role do numbers and Divisibility Rule of 271 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 271 skills?
Important Glossaries for Divisibility Rule of 271.
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 271 are 271, 542, 813, 1084, 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 checking the correctness of a calculation, often by using an alternative method such as direct 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
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