205 LearnersLast updated on May 26th, 2025
Divisibility Rule of 537
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 537.
What is the Divisibility Rule of 537?
The divisibility rule for 537 is a method by which we can find out if a number is divisible by 537 or not without using the division method. Check whether 1074 is divisible by 537 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 1074, 4 is the last digit, so multiply it by 2. 4 × 2 = 8.
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 107–8 = 99.
Step 3: As it is shown that 99 is not a multiple of 537, therefore, the number is not divisible by 537. If the result from step 2 was a multiple of 537, then the number would be divisible by 537.
Tips and Tricks for Divisibility Rule of 537
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 537.
1. Know the multiples of 537:
Memorize the multiples of 537 (537, 1074, 1611, 2148, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 537, then the number is divisible by 537.
2. Use the negative numbers:
If the result we get after subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 537.
For example: Check if 2685 is divisible by 537 using the divisibility test.
Multiply the last digit by 2, i.e., 5 × 2 = 10.
Subtract the remaining digits excluding the last digit by 10, 268–10 = 258.
258 is still a large number, so we repeat the process: multiply the last digit by 2, 8 × 2 = 16.
Now subtract 16 from the remaining numbers, 25–16 = 9.
Since 9 is not a multiple of 537, 2685 is not divisible by 537.
4. 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 537
The divisibility rule of 537 helps us to quickly check if the given number is divisible by 537, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 537.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number result after subtraction. The process should be repeated until we get the smallest number that is divisible by 537.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the steps. To avoid this error, students should practice regularly
Divisibility Rule of 537 Examples
Problem 1
Is 2148 divisible by 537?
No, 2148 is not divisible by 537.
Explanation
To check if 2148 is divisible by 537, we can use a divisibility rule specific to 537. Although there is no straightforward divisibility rule for 537 like there is for smaller numbers, we can perform a quick division to see if the quotient is an integer. Dividing 2148 by 537 gives approximately 3.998, which is not an integer, indicating that 2148 is not divisible by 537.
Problem 2
Check the divisibility of 6444 by 537.
Yes, 6444 is divisible by 537.
Explanation
To determine if 6444 is divisible by 537, we can simply divide the two numbers. 6444 divided by 537 equals exactly 12, which is an integer. Therefore, 6444 is divisible by 537.
Problem 3
Is -2685 divisible by 537?
No, -2685 is not divisible by 537.
Explanation
When checking if -2685 is divisible by 537, we remove the negative sign and perform the division. Dividing 2685 by 537 gives approximately 5.0, which is close but not exactly an integer. Therefore, -2685 is not divisible by 537.
Problem 4
Can 1074 be divisible by 537 following the divisibility rule?
Yes, 1074 is divisible by 537.
Explanation
To check if 1074 is divisible by 537, we perform the division. 1074 divided by 537 equals exactly 2, which is an integer. Therefore, 1074 is divisible by 537.
Problem 5
Check the divisibility of 3222 by 537.
No, 3222 is not divisible by 537.
Explanation
To determine if 3222 is divisible by 537, we divide the two numbers. 3222 divided by 537 equals approximately 6.0, which is not an integer. Thus, 3222 is not divisible by 537.
FAQs on Divisibility Rule of 537
1.What is the divisibility rule for 537?
2.How many numbers are there between 1 and 5000 that are divisible by 537?
3.Is 1611 divisible by 537?
4.What if I get 0 after subtracting?
5. Does the divisibility rule of 537 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 537?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 537 with numbers?
8.What role do numbers and Divisibility Rule of 537 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 537 skills?
Important Glossaries for Divisibility Rule of 537
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 537 are 537, 1074, 1611, 2148, etc.
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Verification: Verification is the process of checking or confirming the accuracy of a calculation or result.
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About BrightChamps in United Arab Emirates
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.
