186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 88
The divisibility rule is a way to determine 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 88.
What is the Divisibility Rule of 88?
The divisibility rule for 88 is a method by which we can find out if a number is divisible by 88 or not without using the division method. Check whether 1232 is divisible by 88 with the divisibility rule.
Step 1: Check if the number is divisible by 8. For 1232, the last three digits are 232. Since 232 divided by 8 equals 29 with no remainder, it is divisible by 8.
Step 2: Check if the number is divisible by 11. To do this, take the alternating sum of the digits: (1 - 2 + 3 - 2 = 0). Since 0 is a multiple of 11, the number is divisible by 11.
Step 3: Since the number is divisible by both 8 and 11, it is divisible by 88.
Tips and Tricks for Divisibility Rule of 88
Understanding the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 88.
- Know the multiples of 88: Memorize the multiples of 88 (88, 176, 264, 352, 440…etc.) to quickly check divisibility. If a number is a multiple of 88, it is divisible by 88.
- Check divisibility by 8 and 11: A number is divisible by 88 if it is divisible by both 8 and 11. Ensure you check for both conditions.
- 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 88
The divisibility rule of 88 helps us to quickly check if a given number is divisible by 88, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking both conditions.
Students should ensure that the number is divisible by both 8 and 11, not just one of them.
Divisibility Rule of 88 Examples
Problem 1
Is 1760 divisible by 88?
Yes, 1760 is divisible by 88.
Explanation
To check if 1760 is divisible by 88, we can use the divisibility rule for 88 which involves checking divisibility by both 8 and 11.
1) For divisibility by 8, the last three digits of 1760 are 760. Since 760 divided by 8 equals 95 with no remainder, it is divisible by 8.
2) For divisibility by 11, subtract the sum of the digits in odd positions from the sum of the digits in even positions: (1 + 6) - (7 + 0) = 7 - 7 = 0. Since the result is 0, 1760 is divisible by 11.
Since 1760 is divisible by both 8 and 11, it is divisible by 88.
Problem 2
Check the divisibility rule of 88 for 2640.
Yes, 2640 is divisible by 88.
Explanation
To verify if 2640 is divisible by 88, we check divisibility by both 8 and 11.
1) For divisibility by 8, the last three digits are 640. Dividing 640 by 8 gives 80 exactly, so it is divisible by 8.
2) For divisibility by 11, calculate the alternating sum: (2 + 4) - (6 + 0) = 6 - 6 = 0. Since the result is 0, 2640 is divisible by 11.
Since 2640 is divisible by both 8 and 11, it is divisible by 88.
Problem 3
Is 1232 divisible by 88?
No, 1232 is not divisible by 88.
Explanation
To determine if 1232 is divisible by 88, we need to check divisibility by both 8 and 11.
1) For divisibility by 8, the last three digits are 232. Dividing 232 by 8 gives 29 with a remainder, so it is not divisible by 8.
Since 1232 is not divisible by 8, it cannot be divisible by 88, regardless of divisibility by 11.
Problem 4
Can 704 be divisible by 88 following the divisibility rule?
No, 704 is not divisible by 88.
Explanation
To check if 704 is divisible by 88, we need to verify both 8 and 11.
1) For divisibility by 8, the last three digits are 704. Dividing 704 by 8 gives 88 exactly, so it is divisible by 8.
2) For divisibility by 11, calculate the alternating sum: (7 + 4) - 0 = 11. Since 11 is a multiple of 11, 704 is divisible by 11.
Even though 704 is divisible by both 8 and 11, a mistake was made in calculation: the alternating sum should be (7 + 0) - 4 = 7 - 4 = 3, which is not divisible by 11. Therefore, 704 is not divisible by 88.
Problem 5
Check the divisibility rule of 88 for 3520.
Yes, 3520 is divisible by 88.
Explanation
To check if 3520 is divisible by 88, we need to verify both 8 and 11.
1) For divisibility by 8, the last three digits are 520. Dividing 520 by 8 gives 65 exactly, so it is divisible by 8.
2) For divisibility by 11, calculate the alternating sum: (3 + 2) - (5 + 0) = 5 - 5 = 0. Since the result is 0, 3520 is divisible by 11.
Since 3520 is divisible by both 8 and 11, it is divisible by 88.
FAQs on Divisibility Rule of 88
1.What is the divisibility rule for 88?
2.How many numbers are there between 1 and 1000 that are divisible by 88?
3.Is 528 divisible by 88?
4.What if I get 0 after the alternating sum for 11?
5.Does the divisibility rule of 88 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 88?
7.What are some fun ways kids in United States can practice Divisibility Rule of 88 with numbers?
8.What role do numbers and Divisibility Rule of 88 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 88 skills?
Important Glossaries for Divisibility Rule of 88
- 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 88 are 88, 176, 264, 352, etc.
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Alternating sum: A method used in the divisibility rule of 11 where digits are alternately added and subtracted.
- Verification: The process of confirming the accuracy of a calculation or result, such as using division to check divisibility
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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.
