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136 LearnersLast updated on February 18th, 2025
Divisibility Rule of 880
The divisibility rule is a method 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 880.
What is the Divisibility Rule of 880?
The divisibility rule for 880 is a method by which we can find out if a number is divisible by 880 or not without using the division method.
Tips and Tricks for Divisibility Rule of 880
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 880.
Know the multiples of 880:
Memorize the multiples of 880 (880, 1760, 2640, 3520, etc.) to quickly check divisibility. If the result of the calculation is a multiple of 880, then the number is divisible by 880.
Understand the divisibility rules for 8 and 11:
Since 880 is 8×110, a number divisible by 880 must be divisible by both 8 and 11. A number is divisible by 8 if its last three digits form a number divisible by 8. A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is a multiple of 11.
Check using smaller divisors:
For large numbers, check divisibility by 8 and 11 separately. For example, to check if 7040 is divisible by 880, first check divisibility by 8 and 11. Since 040 (40) is divisible by 8 and the alternating sum for 7040 is (7+0)-(0+4)=3, which is not a multiple of 11, 7040 is not divisible by 880.
Use the division method to verify:
You can use the division method to verify and cross-check your results, helping to confirm and learn the divisibility rule.
Common Mistakes and How to Avoid Them in Divisibility Rule of 880
Divisibility Rule of 880 Examples
Problem 1
Is 3520 divisible by 880?
Explanation
Problem 2
Check if 8800 is divisible by 880.
Explanation
Problem 3
Is -1760 divisible by 880?
Explanation
Problem 4
Can 440 be divisible by 880 following the divisibility rule?
Explanation
Problem 5
Check the divisibility rule of 880 for 9680.
Explanation
FAQs on Divisibility Rule of 880
1.What is the divisibility rule for 880?
2.How many numbers are there between 1 and 10000 that are divisible by 880?
3.Is 3520 divisible by 880?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 880 apply to all integers?
Important Glossaries for Divisibility Rule of 880
- 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 880 if it meets the criteria of divisibility by both 8 and 11.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 880 are 880, 1760, 2640, 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.
- Alternating sum: The process of adding and subtracting digits in alternating positions to check divisibility by 11.
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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.
