206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 384
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 384.
What is the Divisibility Rule of 384?
The divisibility rule for 384 helps us determine if a number is divisible by 384 without using the division method. To check whether a number is divisible by 384, we need to determine if it is divisible by 2, 3, and 8, as 384 is the product of these numbers (384 = 2^7 × 3).
Step 1: Check divisibility by 2. A number is divisible by 2 if its last digit is even.
Step 2: Check divisibility by 3. Add up all the digits of the number, and if the sum is divisible by 3, then the number is divisible by 3.
Step 3: Check divisibility by 8. A number is divisible by 8 if the last three digits form a number that is divisible by 8.
Example: Check whether 768 is divisible by 384.
Step 1: Check divisibility by 2. The last digit of 768 is 8, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. The sum of the digits of 768 is 7 + 6 + 8 = 21, and 21 is divisible by 3.
Step 3: Check divisibility by 8. The last three digits of 768 are 768, and 768 ÷ 8 = 96, which is an integer. Therefore, 768 is divisible by 8.
Since 768 is divisible by 2, 3, and 8, it is also divisible by 384.
Tips and Tricks for Divisibility Rule of 384
Learning the divisibility rule helps students master division. Let's explore a few tips and tricks for the divisibility rule of 384.
- Understand the factors: Recognize that 384 is composed of the factors 2, 3, and 8. Ensure a number meets all these divisibility conditions.
- Practice with multiples: Familiarize yourself with multiples of 384 (e.g., 384, 768, 1152) to quickly assess divisibility.
- Double-check with smaller factors: If a number passes divisibility checks for 2, 3, and 8, it is divisible by 384.
- Use the division method to verify: Students can use actual division to verify and cross-check their results, which helps reinforce their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 384
The divisibility rule of 384 allows us to quickly check if a number is divisible by 384, but common mistakes can occur. Here's how to avoid them:
Mistake 1
Not checking all factors.
Ensure the number is divisible by 2, 3, and 8.
Mistake 2
Miscalculating digit sums.
Carefully add up all digits for the divisibility check by 3.
Mistake 3
Ignoring the last three digits in divisibility by 8.
Always verify the last three digits for divisibility by 8.
Mistake 4
Confusing the steps.
Follow the steps in order and practice regularly to avoid errors.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 384 Examples
Problem 1
Is 1920 divisible by 384?
Yes, 1920 is divisible by 384.
Explanation
To determine if 1920 is divisible by 384, follow these steps:
1) Check if 1920 is divisible by 2. The last digit is 0, so it is divisible by 2.
2) Check if 1920 is divisible by 3. Add the digits, 1 + 9 + 2 + 0 = 12, which is divisible by 3.
3) Check if 1920 is divisible by 8. The last three digits are 920, which is not divisible by 8.
Since the divisibility fails at step 3, 1920 is not divisible by 384.
Problem 2
Verify if 3072 is divisible by 384.
Yes, 3072 is divisible by 384.
Explanation
To confirm divisibility of 3072 by 384, follow these steps:
1) Check if 3072 is divisible by 2. The last digit is 2, so it is divisible by 2.
2) Check if 3072 is divisible by 3. Add the digits, 3 + 0 + 7 + 2 = 12, which is divisible by 3.
3) Check if 3072 is divisible by 8. The last three digits are 072, and 72 is divisible by 8.
Since all conditions are met, 3072 is divisible by 384.
Problem 3
Determine if 576 is divisible by 384.
No, 576 is not divisible by 384.
Explanation
To check divisibility of 576 by 384, follow these steps:
1) Check if 576 is divisible by 2. The last digit is 6, so it is divisible by 2.
2) Check if 576 is divisible by 3. Add the digits, 5 + 7 + 6 = 18, which is divisible by 3.
3) Check if 576 is divisible by 8. The last three digits are 576, and 576 divided by 8 is 72, which is divisible by 8.
Since all conditions are met, 576 is divisible by 384.
Problem 4
Can 1536 be divisible by 384?
Yes, 1536 is divisible by 384.
Explanation
To verify divisibility of 1536 by 384, follow these steps:
1) Check if 1536 is divisible by 2. The last digit is 6, so it is divisible by 2.
2) Check if 1536 is divisible by 3. Add the digits, 1 + 5 + 3 + 6 = 15, which is divisible by 3.
3) Check if 1536 is divisible by 8. The last three digits are 536, and 536 divided by 8 is 67, which is divisible by 8.
Since all conditions are met, 1536 is divisible by 384.
Problem 5
Check the divisibility rule of 384 for 2304.
Yes, 2304 is divisible by 384.
Explanation
To determine if 2304 is divisible by 384, follow these steps:
1) Check if 2304 is divisible by 2. The last digit is 4, so it is divisible by 2.
2) Check if 2304 is divisible by 3. Add the digits, 2 + 3 + 0 + 4 = 9, which is divisible by 3.
3) Check if 2304 is divisible by 8. The last three digits are 304, and 304 divided by 8 is 38, which is divisible by 8.
Since all conditions are met, 2304 is divisible by 384.
FAQs on Divisibility Rule of 384
1.What is the divisibility rule for 384?
2.How many numbers between 1 and 1000 are divisible by 384?
3.Is 1152 divisible by 384?
4.What if I get 0 after any calculation step?
5.Does the divisibility rule of 384 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 384?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 384 with numbers?
8.What role do numbers and Divisibility Rule of 384 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 384 skills?
Important Glossaries for Divisibility Rule of 384
- Divisibility rule: A set of guidelines used to determine if a number can be divided by another number without a remainder.
- Factors: Numbers that divide another number exactly, without leaving a remainder.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 384 are 384, 768, 1152, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Even numbers: Numbers that are divisible by 2 with no remainder, such as 2, 4, 6, etc.
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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.
