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Last updated on May 26th, 2025

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Divisibility Rule of 96

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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.

Divisibility Rule of 96 for Bahraini Students
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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.divisibility rule of 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.
     
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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

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Not checking both criteria (3 and 32).

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Always ensure the number meets both criteria for divisibility by 3 and 32.
 

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Divisibility Rule of 96 Examples

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Max, the Girl Character from BrightChamps

Problem 1

A construction company needs to divide 960 bricks evenly into several stacks. Can each stack have 96 bricks?

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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.

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Max, the Girl Character from BrightChamps

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?

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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.
 

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Problem 3

A shipment of 1,152 items needs to be organized into groups of 96. Is this possible without any items remaining?

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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.
 

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Max, the Girl Character from BrightChamps

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?

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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.
 

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Max, the Girl Character from BrightChamps

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?

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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?

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2.How many numbers between 1 and 1000 are divisible by 96?

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3.Is 576 divisible by 96?

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4.What if I find a negative number while checking divisibility by 32?

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5.Does the divisibility rule of 96 apply to all integers?

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6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 96?

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7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 96 with numbers?

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8.What role do numbers and Divisibility Rule of 96 play in helping children in Bahrain develop problem-solving skills?

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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.
     
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, we know numbers are more than just digits—they’re a gateway to limitless possibilities! We strive to help children all across Bahrain master essential math skills, including today’s focus on the Divisibility Rule of 96 with a special emphasis on the Divisibility Rule—delivered in an engaging, fun, and easy-to-understand manner. Whether your child is measuring the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, keeping score at local football matches, or managing their allowance to buy the latest gadgets, knowing numbers builds confidence for everyday tasks. Our lessons are interactive and enjoyable. Because children in Bahrain learn differently, we customize our teaching to fit each learner’s style. From Manama’s lively city life to its peaceful beaches, BrightChamps makes math relatable and exciting across Bahrain. Let’s make the Divisibility Rule a fun part of every child’s math journey!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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