210 LearnersLast updated on May 26th, 2025
Divisibility Rule of 803
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 803.
What is the Divisibility Rule of 803?
The divisibility rule for 803 is a method by which we can find out if a number is divisible by 803 or not without using the division method. Check whether 1606 is divisible by 803 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 1606, 6 is the last digit, multiply it by 3. 6 × 3 = 18
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 160–18 = 142.
Step 3: As it is shown that 142 is not a multiple of 803, therefore, the number is not divisible by 803. If the result from step 2 is a multiple of 803, then the number is divisible by 803.
Tips and Tricks for Divisibility Rule of 803
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 803.
Know the multiples of 803:
Memorize the multiples of 803 (803, 1606, 2409, 3212, 4015…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 803, then the number is divisible by 803.
Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 803.
For example: Check if 4824 is divisible by 803 using the divisibility test.
Multiply the last digit by 3, i.e., 4 × 3 = 12.
Subtract the remaining digits excluding the last digit by 12, 482–12 = 470.
Still, 470 is a large number, hence we will repeat the process again and multiply the last digit by 3, 0 × 3 = 0.
Now subtracting 0 from the remaining numbers excluding the last digit, 47–0 = 47.
As 47 is not a multiple of 803, 4824 is not divisible by 803.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 803
The divisibility rule of 803 helps us to quickly check if the given number is divisible by 803, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit by 3 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 803.
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 got a large number resulting from the subtraction. The process should be repeated until we get the smallest number that is divisible by 803.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to negative values. But divisibility rules are 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 803 Examples
Problem 1
Is 1606 divisible by 803?
Yes, 1606 is divisible by 803.
Explanation
To check if 1606 is divisible by 803, divide the number directly.
1) Calculate 1606 ÷ 803 = 2.
2) Since the result is an integer, 1606 is divisible by 803.
Problem 2
Check the divisibility rule of 803 for 2409.
Yes, 2409 is divisible by 803.
Explanation
For checking the divisibility rule of 803 for 2409, divide the number directly.
1) Calculate 2409 ÷ 803 = 3.
2) Since the result is an integer, 2409 is divisible by 803.
Problem 3
Is 3212 divisible by 803?
No, 3212 is not divisible by 803.
Explanation
To check if 3212 is divisible by 803, divide the number directly.
1) Calculate 3212 ÷ 803 ≈ 4.
2) The result is not an exact integer, meaning 3212 is not divisible by 803.
Problem 4
Can 4015 be divisible by 803 following the divisibility rule?
No, 4015 isn't divisible by 803.
Explanation
To check if 4015 is divisible by 803, divide the number directly.
1) Calculate 4015 ÷ 803 ≈ 5.
2) The result is not an exact integer, so 4015 isn't divisible by 803.
Problem 5
Check the divisibility rule of 803 for 4826.
Yes, 4826 is divisible by 803.
Explanation
To check the divisibility rule of 803 for 4826, divide the number directly.
1) Calculate 4826 ÷ 803 = 6.
2) Since the result is an integer, 4826 is divisible by 803.
FAQs on Divisibility Rule of 803
1.What is the divisibility rule for 803?
2.How many numbers are there between 1 and 5000 that are divisible by 803?
3.Is 2409 divisible by 803?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 803 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 803?
7.What are some fun ways kids in India can practice Divisibility Rule of 803 with numbers?
8.What role do numbers and Divisibility Rule of 803 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 803 skills?
Important Glossaries for Divisibility Rule of 803
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 803 are 803, 1606, 2409, 3212, 4015, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: Verification is the process of confirming the accuracy of a result, often by using an alternative method such as direct division.
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About BrightChamps in India
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.
