100 LearnersLast updated on May 26th, 2025
Divisibility Rule of 501
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 501.
What is the Divisibility Rule of 501?
The divisibility rule for 501 is a method by which we can find out if a number is divisible by 501 or not without using the division method. Check whether 1503 is divisible by 501 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of the number: 1 + 5 + 0 + 3 = 9. Since 9 is divisible by 3, 1503 passes the first test.
Step 2: Check if the number is divisible by 167. Divide the number by 167: 1503 ÷ 167 = 9. Since 9 is an integer, 1503 is also divisible by 167.
Step 3: Since 1503 is divisible by both 3 and 167, it is divisible by 501 (501 = 3 × 167).
Tips and Tricks for Divisibility Rule of 501
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 501.
Know the multiples of 501: Memorize the multiples of 501 (501, 1002, 1503, 2004…etc.) to quickly check the divisibility. If the result from the division is an integer, then the number is divisible by 501.
Use the division method: 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 501
The divisibility rule of 501 helps us to quickly check if the given number is divisible by 501, 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 that are checking divisibility by 3 and then by 167.
Divisibility Rule of 501 Examples
Problem 1
Is 1002 divisible by 501?
Yes, 1002 is divisible by 501.
Explanation
To check if 1002 is divisible by 501, follow the steps:
1) Divide the number by 501, \(1002 ÷ 501 = 2\).
2) Since the result is a whole number, 1002 is divisible by 501.
Problem 2
Check the divisibility rule of 501 for 1503.
Yes, 1503 is divisible by 501.
Explanation
To verify divisibility by 501 for 1503:
1) Divide the number by 501, \(1503 ÷ 501 = 3\).
2) The result is a whole number, which confirms that 1503 is divisible by 501.
Problem 3
Is 2505 divisible by 501?
Yes, 2505 is divisible by 501.
Explanation
To check divisibility of 2505 by 501:
1) Divide the number by 501, \(2505 ÷ 501 = 5\).
2) The result is a whole number, indicating that 2505 is divisible by 501.
Problem 4
Can 3502 be divisible by 501 following the divisibility rule?
No, 3502 isn't divisible by 501.
Explanation
To verify if 3502 is divisible by 501:
1) Divide the number by 501, \(3502 ÷ 501 = 6.987\).
2) The result is not a whole number, so 3502 is not divisible by 501.
Problem 5
Check the divisibility rule of 501 for 5010.
Yes, 5010 is divisible by 501.
Explanation
To confirm divisibility of 5010 by 501:
1) Divide the number by 501, \(5010 ÷ 501 = 10\).
2) Since the result is a whole number, 5010 is divisible by 501.
FAQs on Divisibility Rule of 501
1. What is the divisibility rule for 501?
2. How many numbers are there between 1 and 2000 that are divisible by 501?
3.Is 1002 divisible by 501?
4. Does the divisibility rule of 501 apply to all integers?
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6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 501?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 501 with numbers?
8.What role do numbers and Divisibility Rule of 501 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 501 skills?
Important Glossaries for Divisibility Rule of 501
- 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 501 are 501, 1002, 1503, etc.
- Integers: Integers include all whole numbers, negative numbers, and zero.
- Division: Division is the process of determining how many times one number is contained within another.
- Factors: Factors are numbers that can be multiplied together to get another number. For example, 3 and 167 are factors of 501.
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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.
