217 LearnersLast updated on May 26th, 2025
Divisibility Rule of 876
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 876.
What is the Divisibility Rule of 876?
The divisibility rule for 876 is a method by which we can find out if a number is divisible by 876 or not without using the division method. Check whether 1752 is divisible by 876 with the divisibility rule.
Step 1: Check the number of digits in the other number. If the number has more than three digits, proceed to the next step.
Step 2: Divide the number into groups of three digits from the right. Here in 1752, the groups would be 1 and 752.
Step 3: Check if each group is a multiple of 876. If they are, the number is divisible by 876. If not, the number is not divisible by 876.
Tips and Tricks for Divisibility Rule of 876
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 876.
Know the multiples of 876:
Memorize the multiples of 876 (876, 1752, 2628, etc.) to quickly check the divisibility.
Use the division method to verify:
You can use the division method as a way to verify and cross-check your results. This helps in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 876
The divisibility rule of 876 helps us to quickly check if a given number is divisible by 876, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not correctly grouping digits.
Ensure that you correctly divide the number into groups of three digits from the right.
Mistake 2
Incorrectly checking multiples.
Verify that each group is indeed a multiple of 876 by checking against known multiples.
Mistake 3
Not verifying large numbers.
If in doubt, use the division method to confirm divisibility.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. Practice regularly to avoid this error.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 876 Examples
Problem 1
Is 8760 divisible by 876?
Yes, 8760 is divisible by 876.
Explanation
To check if 8760 is divisible by 876, perform the division 8760 ÷ 876 = 10. Since the result is an integer, 8760 is divisible by 876.
Problem 2
Check the divisibility rule of 876 for 4380.
No, 4380 is not divisible by 876.
Explanation
To see if 4380 is divisible by 876, perform the division 4380 ÷ 876 ≈ 5. The result is not an integer, which means 4380 is not divisible by 876.
Problem 3
Is -876 divisible by 876?
Yes, -876 is divisible by 876.
Explanation
To check if -876 is divisible by 876, remove the negative sign and perform the division 876 ÷ 876 = 1. Since the result is an integer, -876 is divisible by 876.
Problem 4
Can 1752 be divisible by 876 following the divisibility rule?
Yes, 1752 is divisible by 876.
Explanation
To check if 1752 is divisible by 876, perform the division 1752 ÷ 876 = 2. Since the result is an integer, 1752 is divisible by 876.
Problem 5
Check the divisibility rule of 876 for 2630.
No, 2630 is not divisible by 876.
Explanation
To see if 2630 is divisible by 876, perform the division 2630 ÷ 876 ≈ 3.002. The result is not an integer, which means 2630 is not divisible by 876.
FAQs on Divisibility Rule of 876
1.What is the divisibility rule for 876?
2.How many numbers are there between 1 and 3000 that are divisible by 876?
3.Is 2628 divisible by 876?
4.What if one group is 0?
5.Does the divisibility rule of 876 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 876?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 876 with numbers?
8.What role do numbers and Divisibility Rule of 876 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 876 skills?
Important Glossaries for Divisibility Rule of 876
- 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 876 are 876, 1752, 2628, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Grouping: The process of dividing a number into segments to apply a divisibility rule.
- Verification: The process of checking the accuracy of a result, often by using another method like division.
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About BrightChamps in Qatar
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.
