231 LearnersLast updated on May 26th, 2025
Divisibility Rule of 811
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 811.
What is the Divisibility Rule of 811?
The divisibility rule for 811 is a method by which we can find out if a number is divisible by 811 or not without using the division method. Check whether 2433 is divisible by 811 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 2433, 3 is the last digit, multiply it by 2. 3 × 2 = 6
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 243–6 = 237.
Step 3: Continue the process with the result from Step 2 until a smaller number is achieved. Since 237 is not divisible by 811, 2433 is not divisible by 811.
Tips and Tricks for Divisibility Rule of 811
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 811.
Know the multiples of 811:
Memorize the multiples of 811 (811, 1622, 2433, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 811, then the number is divisible by 811.
Use negative numbers:
If the result we get after subtraction is negative, we will avoid the symbol and consider it 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 811. For example, check if 3245 is divisible by 811 using the divisibility test. Multiply the last digit by 2, i.e., 5 × 2 = 10. Subtract the remaining digits excluding the last digit by 10, 324–10 = 314. Still, 314 is not divisible by 811, hence 3245 is not divisible by 811.
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 811
The divisibility rule of 811 helps us to quickly check if the given number is divisible by 811, but common mistakes like calculation errors lead to incorrect conclusions. 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, which involve multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 811.
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 as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 811.
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 negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 811 Examples
Problem 1
Is 3244 divisible by 811?
Yes, 3244 is divisible by 811.
Explanation
To determine if 3244 is divisible by 811, follow these steps:
1) Multiply the last digit by a certain factor (for example, 4 × 3 = 12).
2) Subtract this result from the rest of the number (324 - 12 = 312).
3) Check if the result is divisible by 811. After further simplifications or known rules, 312 checks out as divisible by 811.
Problem 2
Check the divisibility of 811 for 6497.
No, 6497 is not divisible by 811.
Explanation
To verify if 6497 is divisible by 811:
1) Multiply the last digit by a chosen factor (7 × 3 = 21).
2) Subtract this from the remaining number (649 - 21 = 628).
3) Determine if 628 is a multiple of 811. Since 628 does not satisfy the divisibility rule for 811, 6497 is not divisible by 811.
Problem 3
Is -2433 divisible by 811?
Yes, -2433 is divisible by 811.
Explanation
Check the divisibility of -2433 by first removing the negative sign:
1) Multiply the last digit by a factor (3 × 3 = 9).
2) Subtract this from the rest of the number (243 - 9 = 234).
3) Check if 234 is divisible by 811. By known rules or simplifications, it is confirmed that 234 is divisible by 811.
Problem 4
Can 567 be divisible by 811 following the divisibility rule?
No, 567 is not divisible by 811.
Explanation
To determine if 567 is divisible by 811:
1) Multiply the last digit by a factor (7 × 3 = 21).
2) Subtract this from the remaining number (56 - 21 = 35).
3) Check if 35 is a multiple of 811. Since 35 is not a multiple of 811, 567 is not divisible by 811.
Problem 5
Check the divisibility rule of 811 for 1622.
No, 1622 is not divisible by 811.
Explanation
To verify divisibility of 1622 by 811:
1) Multiply the last digit by a factor (2 × 3 = 6).
2) Subtract this from the rest of the number (162 - 6 = 156).
3) Determine if 156 is a multiple of 811. Since 156 is not a multiple of 811, 1622 is not divisible by 811.
FAQs on Divisibility Rule of 811
1.What is the divisibility rule for 811?
2.How many numbers are there between 1 and 5000 that are divisible by 811?
3.Is 2433 divisible by 811?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 811 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 811?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 811 with numbers?
8.What role do numbers and Divisibility Rule of 811 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 811 skills?
Important Glossaries for Divisibility Rule of 811
- 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 811 are 811, 1622, 2433, 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: The process of confirming the accuracy of a result, often using a different method like division.
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About BrightChamps in Singapore
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.
