Table Of Contents

Table of Contents

101 Learners

Last updated on March 29th, 2025

Divisibility Rule of 508

Q: What is the divisibility rule for 508?

The divisibility rule for 508 is to check if the number is even, divide it by 4, then divide the result by 127, and check if the result is an integer.

Q: How many numbers are there between 1 and 5000 that are divisible by 508?

There are 9 numbers that can be divided by 508 between 1 and 5000. The numbers are 508, 1016, 1524, 2032, 2540, 3048, 3556, 4064, and 4572.

Q: Is 1524 divisible by 508?

Yes, because 1524 divided by 508 equals 3, which is an integer.

Q: What if I get 0 after division?

If you get 0 as a remainder after division, it is considered as the number is divisible by 508.

Q: Does the divisibility rule of 508 apply to all integers?

Yes, the divisibility rule of 508 applies to all integers that are even.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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.

$divisibility rule of 508$

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

Divisibility Rule of 508 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is 1016 divisible by 508?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Check if 1524 is divisible by 508.

Explanation

Problem 3

Is 2032 divisible by 508?

Explanation

Problem 4

Can 509 be divisible by 508?

Explanation

Problem 5

Check the divisibility of 2540 by 508.

Explanation

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?

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.

$Math Teacher Image$

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.