100 LearnersLast updated on May 26th, 2025
Divisibility Rule of 503
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use the divisibility rule for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 503.
What is the Divisibility Rule of 503?
The divisibility rule for 503 is a method by which we can find out if a number is divisible by 503 without using traditional division. Let's check whether 1515 is divisible by 503 using the divisibility rule.
Step 1: Split the number into three parts from the right, forming groups of three digits. If needed, pad the leftmost group with zeros. For 1515, it becomes 001 515.
Step 2: Multiply the first group (001 or 1) by 503. 1 × 503 = 503.
Step 3: Add the result from Step 2 to the next group, 503 + 515 = 1018.
Step 4: If the sum (1018) is a multiple of 503, then the original number (1515) is divisible by 503. In this case, 1018 is not divisible by 503, so 1515 is not divisible by 503.
Tips and Tricks for Divisibility Rule of 503
Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks related to the divisibility rule for 503.
Know the multiples of 503: Memorize multiples of 503 (503, 1006, 1509, etc.) to quickly check divisibility. If the result from addition is a multiple of 503, the number is divisible by 503.
Use the negative numbers: If the result we obtain after addition is negative, we will ignore the negative sign and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers: For very large numbers, repeat the process until you reach a manageable number to determine divisibility by 503.
Use the division method to verify: Students can use the division method to cross-check their results. This will help them verify their answers and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 503
The divisibility rule of 503 helps us quickly check if a given number is divisible by 503, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will identify some common mistakes to help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which involve splitting the number into groups of three digits, multiplying the first group by 503, and adding the result to the next group.
Divisibility Rule of 503 Examples
Problem 1
Is 1509 divisible by 503?
Yes, 1509 is divisible by 503.
Explanation
To determine if 1509 is divisible by 503, let's follow the steps:
1) Divide 1509 by 503.
2) The result is exactly 3 with no remainder.
3) Since there is no remainder, 1509 is divisible by 503.
Problem 2
Check the divisibility rule of 503 for 2012.
No, 2012 is not divisible by 503.
Explanation
To check the divisibility of 2012 by 503:
1) Divide 2012 by 503.
2) The result is approximately 4.002 with a remainder.
3) Since there is a remainder, 2012 is not divisible by 503.
Problem 3
Is -5030 divisible by 503?
Yes, -5030 is divisible by 503.
Explanation
To check if -5030 is divisible by 503:
1) Remove the negative sign and divide 5030 by 503.
2) The result is 10 with no remainder.
3) Therefore, -5030 is divisible by 503.
Problem 4
Can 753 be divisible by 503 following the divisibility rule?
No, 753 isn’t divisible by 503.
Explanation
To check if 753 is divisible by 503:
1) Divide 753 by 503.
2) The result is approximately 1.497 with a remainder.
3) Since there is a remainder, 753 is not divisible by 503.
Problem 5
Check the divisibility rule of 503 for 1006.
Yes, 1006 is divisible by 503.
Explanation
To check the divisibility of 1006 by 503:
1) Divide 1006 by 503.
2) The result is exactly 2 with no remainder.
3) Therefore, 1006 is divisible by 503.
FAQs on Divisibility Rule of 503
1.What is the divisibility rule for 503?
2. How many numbers are there between 1 and 10,000 that are divisible by 503?
3.Is 1509 divisible by 503?
4. What if I get 0 after adding?
5. Does the divisibility rule of 503 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 503?
7.What are some fun ways kids in United States can practice Divisibility Rule of 503 with numbers?
8.What role do numbers and Divisibility Rule of 503 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 503 skills?
Important Glossaries for Divisibility Rule of 503
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 503 include 503, 1006, 1509, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The process of combining numbers to find their total or sum.
- Grouping: The process of arranging digits in smaller sets to simplify calculations, such as forming groups of three digits for the divisibility rule of 503.
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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.
