135 LearnersLast updated on May 26th, 2025
Divisibility Rule of 964
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 964.
What is the Divisibility Rule of 964?
The divisibility rule for 964 is a method by which we can find out if a number is divisible by 964 or not without using the division method. Check whether 2892 is divisible by 964 with the divisibility rule.
Step 1: Check if the last three digits of the number form a number divisible by 964. Here, 892 is not divisible by 964.
Step 2: Since 892 is not divisible by 964, 2892 is not divisible by 964.
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Tips and Tricks for Divisibility Rule of 964
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 964.
Check the multiples of 964:
Memorize the multiples of 964 (964, 1928, 2892, etc.) to quickly check divisibility. If the number formed by the last three digits is a multiple of 964, then the entire number is divisible by 964.
Use approximation for large numbers:
For very large numbers, approximate and divide the number by 964 to see if it is close to an integer.
Repeat the process for large numbers:
If the number is too large, break it into smaller parts and check divisibility for each part.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 964
The divisibility rule of 964 helps us quickly check if a given number is divisible by 964, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not checking the correct number of digits.
Ensure you are checking the last three digits of the number to determine divisibility by 964.
Mistake 2
Assuming divisibility by smaller numbers means divisibility by 964.
Remember that a number divisible by smaller components of 964 (such as 2 or 482) is not necessarily divisible by 964.
Mistake 3
Confusing the rule with other divisibility rules.
Focus on the specific rule for 964 and practice it separately from other rules.
Mistake 4
Not using multiplication or division to verify results.
Always verify your results by multiplication or division to ensure accuracy.
Mistake 5
Forgetting to check the entire number.
While focusing on the last three digits, don’t forget they must be part of the entire number’s context.
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Divisibility Rule of 964 Examples
Problem 1
Is 5784 divisible by 964?
Yes, 5784 is divisible by 964.
Explanation
To determine if 5784 is divisible by 964, we can perform a simple division. Divide 5784 by 964 and check if the result is a whole number.
5784 ÷ 964 = 6
Since the result is a whole number, 5784 is divisible by 964.
Problem 2
Check the divisibility rule of 964 for 2892.
No, 2892 is not divisible by 964.
Explanation
Perform the division of 2892 by 964 to check for divisibility.
2892 ÷ 964 = 3
As the result is not a whole number, 2892 is not divisible by 964.
Problem 3
Is -4820 divisible by 964?
No, -4820 is not divisible by 964.
Explanation
To check if -4820 is divisible by 964, compute the division and ignore the negative sign.
4820 ÷ 964 ≈ 5.002
Since the result is not a whole number, -4820 is not divisible by 964.
Problem 4
Can 7728 be divisible by 964 following the divisibility rule?
Yes, 7728 is divisible by 964.
Explanation
Check the divisibility by dividing 7728 by 964.
7728 ÷ 964 = 8
The result is a whole number, so 7728 is divisible by 964.
Problem 5
Check the divisibility rule of 964 for 1936.
Yes, 1936 is divisible by 964.
Explanation
Perform the division of 1936 by 964 to verify divisibility.
1936 ÷ 964 = 2
Since the result is a whole number, 1936 is divisible by 964.
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FAQs on Divisibility Rule of 964
1.What is the divisibility rule for 964?
2.How many numbers are there between 1 and 5000 that are divisible by 964?
3.Is 2892 divisible by 964?
4.What if I get 0 after checking the last three digits?
5.Does the divisibility rule of 964 apply to all integers?
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Important Glossaries for Divisibility Rule of 964
- Divisibility Rule: A set of rules used to find out whether a number is divisible by another number without performing division.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 964 are 964, 1928, 2892, etc.
- Integers: Numbers that include all the whole numbers, negative numbers, and zero.
- Approximation: Estimating a number to make calculations easier, especially for large numbers.
- Verification: The process of confirming the results of a calculation through additional methods like 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.
