231 LearnersLast updated on May 26th, 2025
Divisibility Rule of 211
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 211
What is the Divisibility Rule of 211?
The divisibility rule for 211 is a method by which we can determine if a number is divisible by 211 without using the division method. Let's check whether 4211 is divisible by 211 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 4211, 1 is the last digit, multiply it by 2. 1 × 2 = 2.
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 421–2 = 419.
Step 3: Divide the result from step 2 by 211. If the quotient is an integer, then the original number is divisible by 211. Here, 419 ÷ 211 does not yield an integer, so 4211 is not divisible by 211.
Tips and Tricks for Divisibility Rule of 211
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 211.
Know the multiples of 211:
Memorize the multiples of 211 (211, 422, 633, 844, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 211, then the number is divisible by 211.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 211
The divisibility rule of 211 helps us quickly check if a given number is divisible by 211, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiplying the last digit by 2 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 211.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind to exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not using the division method for confirmation.
Always confirm with the division method to ensure the calculation is correct.
Divisibility Rule of 211 Examples
Problem 1
A factory produces 842 machines in a batch. The manager wants to know if the batch of machines can be evenly divided into groups of 211 for shipment. Is 842 divisible by 211?
No, 842 is not divisible by 211.
Explanation
To determine if 842 is divisible by 211 using a divisibility rule:
1) Consider the last digit, 2, and multiply it by 2, which gives 4.
2) Subtract this from the remaining number, 84 - 4 = 80.
3) Since 80 is not a multiple of 211, 842 is not divisible by 211.
Problem 2
A gardener has 422 plants and wants to plant them in rows of 211 plants each. Can the gardener divide the plants evenly into such rows?
No, 422 is not divisible by 211.
Explanation
To check if 422 can be divided by 211:
1) Take the last digit, 2, and multiply by 2 to get 4.
2) Subtract this from the remaining number, 42 - 4 = 38.
3) Since 38 is not a multiple of 211, 422 cannot be divided evenly by 211.
Problem 3
An artist wants to create collections of 211 paintings each from a total of 633 paintings. Can she create complete collections without any paintings left over?
Yes, 633 is divisible by 211.
Explanation
To verify divisibility:
1) Multiply the last digit, 3, by 2, resulting in 6.
2) Subtract from the rest of the number, 63 - 6 = 57.
3) 57 is not a multiple of 211, but it indicates the remainder would be zero since 3 complete collections can be made (211 x 3 = 633).
Problem 4
A book club has 1055 books and wants to organize them into sections of 211 books each. Is it possible to do so without any books left over?
No, 1055 is not divisible by 211.
Explanation
To check divisibility:
1) Multiply the last digit, 5, by 2, giving 10.
2) Subtract from the remaining digits, 105 - 10 = 95.
3) Since 95 is not a multiple of 211, 1055 cannot be divided evenly by 211.
Problem 5
A warehouse receives a shipment of 2110 items. Can the items be evenly packaged into boxes of 211 each?
Yes, 2110 is divisible by 211.
Explanation
To verify:
1) Multiply the last digit, 0, by 2, which is 0.
2) Subtract from the rest of the number, 211 - 0 = 211.
3) Since 211 is a multiple of 211 (211 x 10 = 2110), the items can be evenly packaged.
FAQs on Divisibility Rule of 211
1. What is the divisibility rule for 211?
2.How many numbers are there between 1 and 1000 that are divisible by 211?
3. Is 422 divisible by 211?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 211 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 211?
7.What are some fun ways kids in United States can practice Divisibility Rule of 211 with numbers?
8.What role do numbers and Divisibility Rule of 211 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 211 skills?
Important Glossaries for Divisibility Rule of 211
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 211 are 211, 422, 633, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a calculation, often by using a different method, such as division.
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About BrightChamps in United States
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.
