173 LearnersLast updated on May 26th, 2025
Divisibility Rule of 221
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 221.
What is the Divisibility Rule of 221?
The divisibility rule for 221 is a method by which we can find out if a number is divisible by 221 or not without using the division method. Check whether 442 is divisible by 221 with the divisibility rule.
Step 1: Consider the number as a whole and try to recognize any patterns or use mathematical manipulations that might simplify the process. Here, we divide 442 by 221, which gives us exactly 2, a whole number.
Step 2: Since the result is a whole number, 442 is divisible by 221.
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Tips and Tricks for Divisibility Rule of 221
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 221.
1. Know the multiples of 221:
Memorize the multiples of 221 (221, 442, 663, 884, etc.) to quickly check divisibility. If the result of a division is a whole number, then the number is divisible by 221.
2. Use mathematical patterns:
If the number is large, try to break it down into smaller components or use mathematical observations to identify divisibility by 221.
3. Verify with division:
Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.
4. Simplify the problem:
Break larger numbers into smaller recognizable components that are easier to manage when checking for divisibility by 221.
Common Mistakes and How to Avoid Them in Divisibility Rule of 221
The divisibility rule of 221 helps us to quickly check if the given number is divisible by 221, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not recognizing patterns.
Students should look for patterns or mathematical shortcuts that can simplify the divisibility check.
Mistake 2
Relying solely on large number calculations.
Break down the problem into smaller parts to simplify the process and avoid errors.
Mistake 3
Not verifying with division.
Always crosscheck divisibility using the division method to confirm your results.
Mistake 4
Ignoring mathematical observations.
Pay attention to mathematical relationships or observations that might indicate divisibility by 221.
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Divisibility Rule of 221 Examples
Problem 1
Is 1105 divisible by 221?
No, 1105 is not divisible by 221.
Explanation
To determine if 1105 is divisible by 221, we can use the divisibility rule for 221.
1) Separate the last three digits and the remaining part: 105 and 1.
2) Multiply the remaining part by 2: 1 × 2 = 2.
3) Add the result to the last three digits: 105 + 2 = 107.
4) Check if 107 is equal to or a multiple of 221. No, 107 is not a multiple of 221.
Problem 2
Check the divisibility rule of 221 for 442
Yes, 442 is divisible by 221.
Explanation
To check if 442 is divisible by 221, follow the divisibility rule for 221.
1) Separate the last three digits and the remaining part: 442 and 0 (since there's no number before 442).
2) Multiply the remaining part by 2: 0 × 2 = 0.
3) Add the result to the last three digits: 442 + 0 = 442.
4) Check if 442 is equal to or a multiple of 221. Yes, 442 is exactly 221 × 2.
Problem 3
Is 663 divisible by 221?
Yes, 663 is divisible by 221.
Explanation
Problem 4
Explanation
To test if 663 is divisible by 221, apply the divisibility rule:
1) Separate the last three digits and the remaining part: 663 and 0.
2) Multiply the remaining part by 2: 0 × 2 = 0.
3) Add the result to the last three digits: 663 + 0 = 663.
4) Check if 663 is a multiple of 221. Yes, 663 is 221 × 3.
Problem 5
Can 2349 be divisible by 221 following the divisibility rule?
No, 2349 is not divisible by 221.
Explanation
To determine if 2349 is divisible by 221, use the following steps:
1) Separate the last three digits and the remaining part: 349 and 2.
2) Multiply the remaining part by 2: 2 × 2 = 4.
3) Add the result to the last three digits: 349 + 4 = 353.
4) Check if 353 is a multiple of 221. No, 353 is not a multiple of 221.
Problem 6
Check the divisibility rule of 221 for 1105.
No, 1105 is not divisible by 221.
Explanation
To check the divisibility rule of 221 for 1105, follow these steps:
1) Separate the last three digits and the remaining part: 105 and 1.
2) Multiply the remaining part by 2: 1 × 2 = 2.
3) Add the result to the last three digits: 105 + 2 = 107.
4) Check if 107 is a multiple of 221. No, 107 is not a multiple or equal to 221.
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FAQs on Divisibility Rule of 221
1. What is the divisibility rule for 221?
2.How many numbers are there between 1 and 1000 that are divisible by 221?
3.Is 442 divisible by 221?
4.What if I get a decimal after division?
5.Does the divisibility rule of 221 apply to all integers?
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Important Glossaries for Divisibility Rule of 221
- Divisibility Rule: A set of guidelines used to determine if one number is divisible by another without direct division.
- Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 221 are 221, 442, 663, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Division: The mathematical operation of dividing one number by another to find out how many times one number fits into another.
- Pattern Recognition: The process of identifying repeated sequences or structures within numbers to simplify calculations.
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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.
