Last updated on May 26th, 2025
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
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.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule 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.
Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
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.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
: She loves to read number jokes and games.