199 LearnersLast updated on May 26th, 2025
Divisibility Rule of 96
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 96.
What is the Divisibility Rule of 96?
The divisibility rule for 96 is a method by which we can find out if a number is divisible by 96 without using the division method. To check whether a number is divisible by 96, it should be divisible by both 3 and 32, as 96 is the product of these two numbers:
1. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
2. Divisibility by 32: A number is divisible by 32 if the last five digits form a number that is divisible by 32.
Example: Check whether 3840 is divisible by 96 using the divisibility rule.
Step 1: Check divisibility by 3. The sum of the digits of 3840 is 3+8+4+0=15, which is divisible by 3.
Step 2: Check divisibility by 32. The last five digits of 3840 are 03840, which is divisible by 32 (since 384÷32=12).
Since 3840 is divisible by both 3 and 32, it is also divisible by 96.
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Tips and Tricks for Divisibility Rule of 96
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 96.
- Know the multiples of 96: Memorize the multiples of 96 (96,192,288,384,480,576,672,768,864,960) to quickly check the divisibility.
- Use small checks: If the number is large, first check the divisibility by 3 and 32 separately, then combine the results.
- Use the division method to verify: Use the division method as a way to verify and cross-check results. This will help verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 96
The divisibility rule of 96 helps us quickly check if a given number is divisible by 96, but common mistakes can lead to incorrect calculations. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking both criteria (3 and 32).
Always ensure the number meets both criteria for divisibility by 3 and 32.
Mistake 2
Miscalculating the sum of digits for divisibility by 3.
Carefully add the digits to avoid errors.
Mistake 3
Forgetting to test the last five digits for divisibility by 32.
Always check the last five digits for divisibility by 32.
Mistake 4
Confusing steps or forgetting to divide by 32.
Practice regularly to remember the steps and apply them correctly.
Mistake 5
Not considering negative values.
Students often ignore negative values, thinking divisibility rules don't apply to them. Divisibility rules apply to negative values as well, so consider negative values as positives when checking divisibility.
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Divisibility Rule of 96 Examples
Problem 1
A construction company needs to divide 960 bricks evenly into several stacks. Can each stack have 96 bricks?
Yes, 960 is divisible by 96.
Explanation
To check if 960 is divisible by 96, divide 960 by 96, which equals 10. The division is exact, so 960 is divisible by 96.
Problem 2
A bakery has 576 cookies and wants to package them into boxes containing 96 cookies each. Can this be done without any leftover cookies?
Yes, 576 is divisible by 96.
Explanation
To determine if 576 is divisible by 96, divide 576 by 96, which equals 6. This is an exact division, so 576 is divisible by 96.
Problem 3
A shipment of 1,152 items needs to be organized into groups of 96. Is this possible without any items remaining?
Yes, 1,152 is divisible by 96.
Explanation
To verify if 1,152 is divisible by 96, divide 1,152 by 96, resulting in 12. Since there is no remainder, 1,152 is divisible by 96.
Problem 4
A library has 384 books and wants to arrange them on shelves holding 96 books each. Can the books be arranged equally without any leftover?
Yes, 384 is divisible by 96.
Explanation
To verify if 1,152 is divisible by 96, divide 1,152 by 96, resulting in 12. Since there is no remainder, 1,152 is divisible by 96.
Problem 5
A company wants to distribute 1,920 promotional items equally among 20 teams, with each team receiving the same number of items. Will each team receive 96 items?
Yes, 1,920 is divisible by 96.
Explanation
To determine if each team can receive 96 items, divide 1,920 by 96, which equals 20. This results in an exact division, confirming that 1,920 is divisible by 96.
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FAQs on Divisibility Rule of 96
1.What is the divisibility rule for 96?
2.How many numbers between 1 and 1000 are divisible by 96?
3.Is 576 divisible by 96?
4.What if I find a negative number while checking divisibility by 32?
5.Does the divisibility rule of 96 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 96?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 96 with numbers?
8.What role do numbers and Divisibility Rule of 96 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 96 skills?
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Important Glossaries for Divisibility Rule of 96
- Divisibility Rule: A set of rules used to determine if one number is divisible by another without performing division.
- Multiple: A number that can be divided by another number without a remainder. For example, multiples of 96 include 96, 192, 288, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Sum of Digits: The result of adding all the digits in a number.
- Last Five Digits: The last five digits of a number, used to test divisibility by 32.
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About BrightChamps in Bahrain
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.
