238 LearnersLast updated on May 26th, 2025
Divisibility Rule of 201
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 201.
What is the Divisibility Rule of 201?
The divisibility rule for 201 is a method by which we can find out if a number is divisible by 201 or not without using the division method. Check whether 402 is divisible by 201 with the divisibility rule.
Step 1: Add all the digits of the number, here in 402, the sum of the digits is 4 + 0 + 2 = 6.
Step 2: Multiply the result from Step 1 by 67 (as 201 divided by 3 equals 67). 6 × 67 = 402.
Step 3: As it is shown that the original number 402 equals the result from Step 2, the number is divisible by 201. If the result from Step 2 isn't equal to the original number, then it isn't divisible by 201.
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Tips and Tricks for Divisibility Rule of 201
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 201.
- Know the multiples of 201: Memorize the multiples of 201 (201, 402, 603, 804…etc.) to quickly check divisibility. If the result is equal to the original number, then it is divisible by 201.
- Use approximation: If the result from the multiplication is close but not exact, consider it carefully, as rounding errors might indicate near divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a scenario where the multiplication result equals the original number.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 201
The divisibility rule of 201 helps us to quickly check if the given number is divisible by 201, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that can help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve adding the digits, multiplying by 67, and checking if it equals the original number.
Mistake 2
Incorrect multiplication factor.
Ensure the multiplication factor is correct (67), as it is based on dividing 201 by 3.
Mistake 3
Not repeating the process when unsure.
Students often stop the process without verifying through repetition or approximate checking. Repeat if necessary.
Mistake 4
Ignoring close approximations.
Consider results that are close approximations to the original number; they might indicate near divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; to avoid errors, students should practice regularly.
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Divisibility Rule of 201 Examples
Problem 1
Is 402 divisible by 201?
Yes, 402 is divisible by 201.
Explanation
To check if 402 is divisible by 201, let's use a simple division test:
1) Divide 402 by 201.
2) 402 ÷ 201 = 2.
3) The result is a whole number, therefore 402 is divisible by 201.
Problem 2
Check the divisibility rule of 201 for 603.
Yes, 603 is divisible by 201.
Explanation
To verify if 603 is divisible by 201:
1) Divide 603 by 201.
2) 603 ÷ 201 = 3.
3) Since the result is a whole number, 603 is divisible by 201.
Problem 3
Is 1005 divisible by 201?
No, 1005 is not divisible by 201.
Explanation
To determine if 1005 is divisible by 201:
1) Divide 1005 by 201.
2) 1005 ÷ 201 ≈ 5.000.
3) The result is not an exact whole number, so 1005 is not divisible by 201.
Problem 4
Can 1206 be divisible by 201 following the divisibility rule?
Yes, 1206 is divisible by 201.
Explanation
Let's check the divisibility of 1206 by 201:
1) Divide 1206 by 201.
2) 1206 ÷ 201 = 6.
3) The result is a whole number, thus 1206 is divisible by 201.
Problem 5
Check the divisibility rule of 201 for 1507.
No, 1507 is not divisible by 201.
Explanation
To check if 1507 is divisible by 201:
1) Divide 1507 by 201.
2) 1507 ÷ 201 ≈ 7.496.
3) Since the result is not a whole number, 1507 is not divisible by 201.
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FAQs on Divisibility Rule of 201
1.What is the divisibility rule for 201?
2.How many numbers are there between 1 and 1000 that are divisible by 201?
3.Is 603 divisible by 201?
4.What if I get a number close to the original after multiplying?
5.Does the divisibility rule of 201 apply to all integers?
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Important Glossaries for Divisibility Rule of 201
- 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 it ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 201 are 201, 402, 603, etc.
- Approximation: Estimating a number close to its actual value, which can be useful when checking divisibility.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The result of adding all individual digits in a number, used in various divisibility rules.
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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.
