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118 LearnersLast updated on February 12th, 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
Divisibility Rule of 384 Examples
Problem 1
Is 1920 divisible by 384?
Explanation
Problem 2
Verify if 3072 is divisible by 384.
Explanation
Problem 3
Determine if 576 is divisible by 384.
Explanation
Problem 4
Can 1536 be divisible by 384?
Explanation
Problem 5
Check the divisibility rule of 384 for 2304.
Explanation
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?
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.
