165 LearnersLast updated on May 26th, 2025
Divisibility Rule of 536
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 536.
What is the Divisibility Rule of 536?
The divisibility rule for 536 is a method by which we can find out if a number is divisible by 536 or not without using the division method. Check whether 1072 is divisible by 536 with the divisibility rule.
Step 1: Double the last three digits of the number, here in 1072, 072 is the last three digits. Double it: 072 × 2 = 144.
Step 2: Subtract the result from Step 1 from the rest of the number. In this case, subtract 144 from 1 (since there are no digits left before 072): 1 - 144 = -143.
Step 3: As the result is not zero or a multiple of 536, 1072 is not divisible by 536. If the result from step 2 were zero or a multiple of 536, then the number would be divisible by 536.
Tips and Tricks for Divisibility Rule of 536
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 536.
Know the multiples of 536:
Memorize the multiples of 536 (536, 1072, 1608, 2144, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 536, then the number is divisible by 536.
Use the negative numbers:
If the result we get after the subtraction is negative, we will take its absolute value for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 536. For example, check if 3216 is divisible by 536 using the divisibility test. Double the last three digits, i.e., 216 × 2 = 432. Subtract 432 from 3, which leaves -429. Since -429 is not zero or a multiple of 536, we might investigate further for errors or confirm divisibility by long division.
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 536
The divisibility rule of 536 helps us to quickly check if a given number is divisible by 536, 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 following the correct steps.
Students should follow the correct steps, which are doubling the last three digits and then subtracting the result from the remaining digits.
Divisibility Rule of 536 Examples
Problem 1
Is 2144 divisible by 536?
Yes, 2144 is divisible by 536.
Explanation
To check if 2144 is divisible by 536, follow these steps:
1) Consider the last three digits, which are 144.
2) Subtract the last three digits from the number formed by the remaining digits, if any. Here, 2 - 144 = -142.
3) Check if -142 is divisible by 536. Since 536 is larger than the absolute value of -142, 2144 is divisible by 536.
Problem 2
Check the divisibility rule of 536 for 3216.
No, 3216 is not divisible by 536.
Explanation
To check divisibility by 536:
1) Consider the last three digits, which are 216.
2) Subtract the last three digits from the number formed by the remaining digits, if any. Here, 3 - 216 = -213.
3) Check if -213 is divisible by 536. Since 536 is larger than the absolute value of -213, 3216 is not divisible by 536.
Problem 3
Is 1072 divisible by 536?
Yes, 1072 is divisible by 536.
Explanation
To check if 1072 is divisible by 536:
1) Consider the last three digits, which are 072.
2) Subtract the last three digits from the number formed by the remaining digits, if any. Here, 1 - 72 = -71.
3) Check divisibility: Since 536 * 2 = 1072, 1072 is divisible by 536.
Problem 4
Can 5360 be divisible by 536 following the divisibility rule?
Yes, 5360 is divisible by 536.
Explanation
To check if 5360 is divisible by 536:
1) Consider the last three digits, which are 360.
2) Subtract the last three digits from the number formed by the remaining digits, if any. Here, 5 - 360 = -355.
3) Check divisibility: Since 536 * 10 = 5360, 5360 is divisible by 536.
Problem 5
Check the divisibility rule of 536 for 4028.
No, 4028 is not divisible by 536.
Explanation
To check if 4028 is divisible by 536:
1) Consider the last three digits, which are 028.
2) Subtract the last three digits from the number formed by the remaining digits, if any. Here, 4 - 28 = -24.
3) Check if -24 is divisible by 536. Since 536 is larger than the absolute value of -24, 4028 is not divisible by 536.
FAQs on Divisibility Rule of 536
1.What is the divisibility rule for 536?
2.How many numbers are there between 1 and 5000 that are divisible by 536?
3. Is 2144 divisible by 536?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 536 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 536?
7.What are some fun ways kids in India can practice Divisibility Rule of 536 with numbers?
8.What role do numbers and Divisibility Rule of 536 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 536 skills?
Important Glossaries for Divisibility Rule of 536
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 536 are 536, 1072, 1608, etc.
- Absolute value: The non-negative value of a number without regard to its sign.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Integer: A whole number that can be positive, negative, or zero.
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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
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