174 LearnersLast updated on May 26th, 2025
Divisibility Rule of 508
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 508.
What is the Divisibility Rule of 508?
The divisibility rule for 508 is a method by which we can find out if a number is divisible by 508 or not without using the division method. Check whether 1016 is divisible by 508 with the divisibility rule.
Step 1: Check if the number is even. 1016 is even, so we proceed.
Step 2: Divide the number by 4. 1016 divided by 4 equals 254.
Step 3: Divide the result from Step 2 by 127 (508 divided by 4 is 127). 254 divided by 127 equals 2.
Step 4: If the result is an integer, then the number is divisible by 508. Since 2 is an integer, 1016 is divisible by 508.
Tips and Tricks for Divisibility Rule of 508
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 508.
Know the multiples of 508: Memorize the multiples of 508 (508, 1016, 1524, etc.) to quickly check divisibility. If the result from the division is an integer, then the number is divisible by 508.
Check even numbers: If the number is not even, it is not divisible by 508.
Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is clearly divisible by 508. For instance, check if 2032 is divisible by 508 using the divisibility test. 2032 is even, so divide by 4, which gives 508. Since 508 divided by 127 equals 4 (an integer), 2032 is divisible by 508.
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 508
The divisibility rule of 508 helps us to quickly check if the given number is divisible by 508, but common mistakes like calculation errors lead to incorrect calculations. 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: check if the number is even, divide by 4, and then divide the result by 127 to see if it is an integer.
Mistake 2
Forgetting to check if the number is even.
Always ensure the number is even before proceeding with further steps.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number result after division. The process should be repeated until the division by 127 results in an integer.
Mistake 4
Dividing incorrectly by intermediate values.
Ensure accurate division by 4 and then by 127, and check if the final result is an integer.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 508 Examples
Problem 1
Is 1016 divisible by 508?
Yes, 1016 is divisible by 508.
Explanation
To check if 1016 is divisible by 508, divide the number by 508.
1) 1016 ÷ 508 = 2.
2) The quotient is a whole number, so 1016 is divisible by 508.
Problem 2
Check if 1524 is divisible by 508.
Yes, 1524 is divisible by 508.
Explanation
To verify the divisibility of 1524 by 508:
1) Divide 1524 by 508: 1524 ÷ 508 = 3.
2) As the quotient is a whole number, 1524 is divisible by 508.
Problem 3
Is 2032 divisible by 508?
Yes, 2032 is divisible by 508.
Explanation
To determine if 2032 is divisible by 508:
1) Perform the division: 2032 ÷ 508 = 4.
2) Since the quotient is a whole number, 2032 is divisible by 508.
Problem 4
Can 509 be divisible by 508?
No, 509 is not divisible by 508.
Explanation
To check the divisibility of 509 by 508:
1) Divide 509 by 508: 509 ÷ 508 ≈ 1.00197.
2) The quotient is not a whole number, so 509 is not divisible by 508.
Problem 5
Check the divisibility of 2540 by 508.
Yes, 2540 is divisible by 508.
Explanation
To check if 2540 is divisible by 508:
1) Divide 2540 by 508: 2540 ÷ 508 = 5.
2) The quotient is a whole number, indicating that 2540 is divisible by 508.
FAQs on Divisibility Rule of 508
1. What is the divisibility rule for 508?
2. How many numbers are there between 1 and 5000 that are divisible by 508?
3. Is 1524 divisible by 508?
4.What if I get 0 after division?
5.Does the divisibility rule of 508 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 508?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 508 with numbers?
8.What role do numbers and Divisibility Rule of 508 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 508 skills?
Important Glossaries for Divisibility Rule of 508
- 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 508 are 508, 1016, 1524, etc.
- Even number: A number divisible by 2 without a remainder.
- Integer: A whole number that is not a fraction or decimal and can be positive, negative, or zero.
- Division: A mathematical operation where one number is divided by another to find how many times the divisor fits into the dividend.
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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.
