214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 200
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 200.
What is the Divisibility Rule of 200?
The divisibility rule for 200 is a method by which we can find out if a number is divisible by 200 or not without using the division method. Check whether 4800 is divisible by 200 with the divisibility rule.
Step 1: Check the last three digits of the number. If they form a number that is divisible by 200, then the entire number is divisible by 200. In 4800, the last three digits are 800.
Step 2: Since 800 is divisible by 200 (800 ÷ 200 = 4), the number 4800 is divisible by 200.
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Tips and Tricks for Divisibility Rule of 200
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 200.
- Know the multiples of 200: Memorize the multiples of 200 (200, 400, 600, 800, 1000…etc.) to quickly check divisibility. If the last three digits form a multiple of 200, then the number is divisible by 200.
- Use large numbers: If dealing with large numbers, focus only on the last three digits to determine divisibility by 200.
- Verify using subtraction: If unsure, subtract the nearest lower multiple of 200 from the number and check if the result is zero or another multiple of 200.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 200
The divisibility rule of 200 helps us quickly check if a given number is divisible by 200, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking the correct number of digits.
Always focus on the last three digits of the number to determine divisibility by 200.
Mistake 2
Assuming near multiples are sufficient.
Ensure that the last three digits exactly form a multiple of 200; approximations are not valid.
Mistake 3
Forgetting to verify with division.
Use the division method to confirm results, especially when unsure.
Mistake 4
Confusing the process with other divisibility rules.
Practice regularly to keep the steps clear and distinct from other divisibility rules.
Mistake 5
Nil
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Divisibility Rule of 200 Examples
Problem 1
Is 2400 divisible by 200?
Yes, 2400 is divisible by 200.
Explanation
To determine if 2400 is divisible by 200, we check if the last three digits are divisible by 200. Since 400 (the last three digits) is divisible by 200 (200 x 2 = 400), 2400 is divisible by 200.
Problem 2
Check the divisibility rule of 200 for 5600.
Yes, 5600 is divisible by 200.
Explanation
For checking the divisibility rule of 200 for 5600, we focus on the last three digits. The last three digits, 600, are divisible by 200 (200 x 3 = 600). Therefore, 5600 is divisible by 200.
Problem 3
Is -3200 divisible by 200?
Yes, -3200 is divisible by 200.
Explanation
To check if -3200 is divisible by 200, we consider the positive number 3200. The last three digits, 200, are divisible by 200 (200 x 1 = 200). Thus, -3200 is divisible by 200.
Problem 4
Can 150 be divisible by 200 following the divisibility rule?
No, 150 is not divisible by 200.
Explanation
To check if 150 is divisible by 200, we look at the last three digits. Since 150 is less than 200, it cannot be divisible by 200.
Problem 5
Check the divisibility rule of 200 for 8200.
Yes, 8200 is divisible by 200.
Explanation
To check the divisibility rule of 200 for 8200, we look at the last three digits, which are 200. Since 200 is divisible by 200 (200 x 1 = 200), 8200 is divisible by 200.
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FAQs on Divisibility Rule of 200
1.What is the divisibility rule for 200?
2.How many numbers are there between 1 and 1000 that are divisible by 200?
3.Is 600 divisible by 200?
4.What if the last three digits are zero?
5.Does the divisibility rule of 200 apply to all integers?
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Important Glossaries for Divisibility Rule of 200
- 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 200 if the last three digits form a multiple of 200.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 200 are 200, 400, 600, 800...
- Integers: Integers are the numbers that include all 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 using another method, like division, to confirm the result obtained from using the divisibility rule.
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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.
