159 LearnersLast updated on May 26th, 2025
Divisibility Rule of 976
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 976.
What is the Divisibility Rule of 976?
The divisibility rule for 976 is a method by which we can find out if a number is divisible by 976 or not without using the division method. Check whether 2928 is divisible by 976 with the divisibility rule.
Step 1: Separate the number into groups of three digits starting from the right. For 2928, we separate it into 2 and 928.
Step 2: Multiply the leftmost group (or single digit if it's less than three digits) by 976. Here, 2 × 976 = 1952.
Step 3: Add the result from Step 2 to the rightmost group. 1952 + 928 = 2880.
Step 4: If the result from Step 3 is a multiple of 976, then the number is divisible by 976. Since 2880 is not a multiple of 976, 2928 is not divisible by 976.
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Tips and Tricks for Divisibility Rule of 976
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 976.
Know the multiples of 976:
Memorize the multiples of 976 (976, 1952, 2928, etc.) to quickly check divisibility. If the result from the addition is a multiple of 976, then the number is divisible by 976.
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 976
The divisibility rule of 976 helps us to quickly check if the given number is divisible by 976, but common mistakes like calculation errors lead to incorrect calculations. 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 that involve separating the number into groups, multiplying, and then adding to check if it is a multiple of 976.
Mistake 2
Not repeating the process when the result is large.
Students often stop the process after they have a large number after addition. The process should be repeated until it is clear if the number is a multiple of 976.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Mistake 4
Not repeating the process when the result is large.
Continue the process until you achieve the smallest number that is divisible by 959.
Mistake 5
Not considering negative values.
Consider negative values as positive when checking divisibility.
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Divisibility Rule of 976 Examples
Problem 1
Is 2928 divisible by 976?
Yes, 2928 is divisible by 976.
Explanation
To verify if 2928 is divisible by 976, we can perform the division directly. Dividing 2928 by 976 gives us 3 with no remainder, i.e., 2928 / 976 = 3. Therefore, 2928 is divisible by 976 without any remainder.
Problem 2
Check the divisibility rule of 976 for 5856.
Yes, 5856 is divisible by 976.
Explanation
To check the divisibility of 5856 by 976, we divide 5856 by 976. The result is exactly 6, i.e., 5856 / 976 = 6. Since there is no remainder, 5856 is divisible by 976.
Problem 3
Is 12320 divisible by 976?
Yes, 12320 is divisible by 976.
Explanation
To determine if 12320 is divisible by 976, divide 12320 by 976. The quotient is 12 with no remainder, i.e., 12320 / 976 = 12. Thus, 12320 is divisible by 976.
Problem 4
Can 5000 be divisible by 976 following the divisibility rule?
No, 5000 is not divisible by 976.
Explanation
To check if 5000 is divisible by 976, divide 5000 by 976. The result is approximately 5.12, indicating that there is a remainder. Therefore, 5000 is not divisible by 976 without a remainder.
Problem 5
Check the divisibility rule of 976 for 1952.
Yes, 1952 is divisible by 976.
Explanation
To verify the divisibility of 1952 by 976, divide 1952 by 976. The quotient is 2, with no remainder, i.e., 1952 / 976 = 2. Therefore, 1952 is divisible by 976.
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FAQs on Divisibility Rule of 976
1.What is the divisibility rule for 976?
2.How many numbers are there between 1 and 10,000 that are divisible by 976?
3.Is 1952 divisible by 976?
4.What if I get 0 after adding?
5.Does the divisibility rule of 976 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 976?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 976 with numbers?
8.What role do numbers and Divisibility Rule of 976 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 976 skills?
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Important Glossaries for Divisibility Rule of 976
- 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 976 are 976, 1952, 2928, etc.
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Addition: Addition is a process of finding the total or sum by combining two or more numbers.
- Group: A set of digits separated for the purpose of applying the divisibility rule.
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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.
