200 LearnersLast updated on May 26th, 2025
Divisibility Rule of 881
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 math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 881.
What is the Divisibility Rule of 881?
The divisibility rule for 881 is a method by which we can determine if a number is divisible by 881 without using the division method.
Check whether 3524 is divisible by 881 with the divisibility rule.
Step 1: Multiply the last two digits of the number by 9, here in 3524, 24 is the last two digits. Multiply it by 9. 24 × 9 = 216
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 35–216 = -181.
Step 3: As it is shown that -181 is not a multiple of 881, the number is not divisible by 881. If the result from step 2 is a multiple of 881, then the number is divisible by 881.
Tips and Tricks for Divisibility Rule of 881
Learning the divisibility rule helps kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 881.
Know the multiples of 881:
Memorize the multiples of 881 (881, 1762, 2643, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 881, then the number is divisible by 881.
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 881.
For example: Check if 1762 is divisible by 881 using the divisibility test. Multiply the last two digits by 9, i.e., 62 × 9 = 558. Subtract the remaining digits excluding the last two digits by 558, 17–558 = -541.
Since -541 is not a multiple of 881, 1762 is not divisible by 881.
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 881
The divisibility rule of 881 helps us to quickly check if the given number is divisible by 881, but common mistakes like calculation errors can lead to incorrect results. 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, which involve multiplying the last two digits by 9 and then subtracting the result from the remaining digits excluding the last two digits, and checking whether it is a multiple of 881.
Mistake 2
Including the last two digits in subtraction.
Students should keep in mind that they should exclude the last two digits 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 a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 881.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to negative values. But the divisibility rule is 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 the error, students should practice regularly.
Divisibility Rule of 881 Examples
Problem 1
Is 1762 divisible by 881?
Yes, 1762 is divisible by 881.
Explanation
To check if 1762 is divisible by 881, we can use the following method:
1) Consider the number as two parts: the first half and the second half. Here, 17 and 62.
2) Multiply the first part by 2, 17 × 2 = 34.
3) Add the result to the second part, 34 + 62 = 96.
4) If 96 is a multiple of 881, then 1762 is divisible by 881, which it is not. Correction: The calculation should involve direct division here, as the number directly gives 1762 ÷ 881 = 2, which is a whole number, thus divisible.
Problem 2
Check the divisibility rule of 881 for 8810.
Yes, 8810 is divisible by 881.
Explanation
For checking the divisibility of 8810 by 881, follow this method:
1) Break the number into two parts, 88 and 10.
2) Multiply the first part by 10, 88 × 10 = 880.
3) Add the result to the second part, 880 + 10 = 890.
4) Since 890 is not directly divisible by 881, check the original number: 8810 ÷ 881 = 10, which is a whole number, so 8810 is divisible by 881.
Problem 3
Is -2643 divisible by 881?
No, -2643 is not divisible by 881.
Explanation
To check if -2643 is divisible by 881:
1) Remove the negative sign and consider the absolute value, 2643.
2) Divide 2643 by 881, which equals approximately 3.000, not an integer.
3) Since it does not result in a whole number, -2643 is not divisible by 881.
Problem 4
Can 7929 be divisible by 881 following the divisibility rule?
No, 7929 isn't divisible by 881.
Explanation
To check if 7929 is divisible by 881:
1) Divide 7929 by 881, which gives approximately 9.000, not exactly 9.
2) As the result is not a whole number, 7929 is not divisible by 881.
Problem 5
Check the divisibility rule of 881 for 88100.
Yes, 88100 is divisible by 881.
Explanation
To verify if 88100 is divisible by 881, perform the division:
1) Divide 88100 by 881, which equals exactly 100.
2) Since the result is a whole number, 88100 is divisible by 881.
FAQs on Divisibility Rule of 881
1.What is the divisibility rule for 881?
2.How many numbers are there between 1 and 10,000 that are divisible by 881?
3.Is 881 divisible by 881?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 881 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 881?
7.What are some fun ways kids in United States can practice Divisibility Rule of 881 with numbers?
8.What role do numbers and Divisibility Rule of 881 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 881 skills?
Important Glossary for Divisibility Rule of 881
- Divisibility rule: The set of rules used to determine 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 digit.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 881 are 881, 1762, 2643, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
- Verification: Verification is the process of confirming that a calculation or result is accurate, often by using a different method, such as actual division.
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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.
