194 LearnersLast updated on May 26th, 2025
Divisibility Rule of 768
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 768.
What is the Divisibility Rule of 768?
The divisibility rule for 768 helps us determine if a number is divisible by 768 without using the division method. Check whether 3072 is divisible by 768 using the divisibility rule.
Step 1: Check if the number is divisible by 2 three times, 3, 0, 7, and 2 are all even, so it passes the divisibility rule for 2 three times.
Step 2: Check if the sum of the digits is divisible by 3. For 3072, the sum is 3+0+7+2=12, which is divisible by 3.
Step 3: Check if the number is divisible by 4 twice. Since 3072 ends in 72, we check 72, which is divisible by 4 once, and 18 (from 72/4) is also divisible by 4.
Therefore, 3072 is divisible by 768.
Tips and Tricks for Divisibility Rule of 768
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 768.
- Know the factors of 768: Memorize the factors of 768 (2^3 × 3 × 4^2) to quickly check divisibility. Ensure the number is divisible by each factor.
- Use smaller parts: Break down large numbers into smaller parts that are easier to check for divisibility by 768.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 768.
For example, check if 1536 is divisible by 768 using the divisibility test.
Check divisibility by 2 three times: 1536 is even, 768 is even, and 384 is even.
Check divisibility by 3: The sum of the digits in 1536 is 15, which is divisible by 3.
Check divisibility by 4 twice: 1536 is divisible by 4, giving 384, which is also divisible by 4.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 768
The divisibility rule of 768 helps us quickly check if a given number is divisible by 768, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, ensuring divisibility by 2 three times, by 3, and by 4 twice.
Mistake 2
Forgetting to check all factors.
Ensure the number meets the divisibility requirements for all factors of 768.
Mistake 3
Stopping the process too early.
Students often stop the process early. Continue until all factors are checked.
Mistake 4
Confusing steps with other rules.
Regular practice will help students remember the specific steps for 768.
Mistake 5
Not considering negative results.
Consider the absolute value of negative results when checking for divisibility.
Divisibility Rule of 768 Examples
Problem 1
Is 2304 divisible by 768?
Yes, 2304 is divisible by 768.
Explanation
To check if 2304 is divisible by 768, we can divide the number directly:
1) Divide 2304 by 768, which results in exactly 3.
2) Since the quotient is an integer, 2304 is divisible by 768.
Problem 2
Can 1536 be divided by 768 without a remainder?
Yes, 1536 is divisible by 768.
Explanation
To verify, follow these steps:
1) Divide 1536 by 768, which equals 2.
2) Since 1536 divided by 768 gives an integer, 1536 is divisible by 768.
Problem 3
Is 192 divisible by 768?
No, 192 is not divisible by 768.
Explanation
To check:
1) Divide 192 by 768.
2) The result is a non-integer (0.25), indicating that 192 is not divisible by 768.
Problem 4
Check if 3072 follows the divisibility rule for 768.
Yes, 3072 is divisible by 768.
Explanation
To confirm, proceed with:
1) Divide 3072 by 768, which results in 4.
2) As the quotient is an integer, 3072 is divisible by 768.
Problem 5
Evaluate if 384 is divisible by 768.
No, 384 is not divisible by 768.
Explanation
To verify:
1) Divide 384 by 768.
2) The result is a non-integer (0.5), showing that 384 is not divisible by 768.
FAQs on Divisibility Rule of 768
1.What is the divisibility rule for 768?
2.How can I check if a number is divisible by 768?
3.Is 2304 divisible by 768?
4.What if I get a remainder when dividing by 4?
5.Does the divisibility rule of 768 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 768?
7.What are some fun ways kids in United States can practice Divisibility Rule of 768 with numbers?
8.What role do numbers and Divisibility Rule of 768 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 768 skills?
Important Glossaries for Divisibility Rule of 768
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number.
- Factors: Numbers we multiply to get another number. For 768, the factors are 2, 3, and 4.
- Remainder: The amount left over after division.
- Integer: Whole numbers, including negative numbers and zero.
- Sum of digits: The total obtained by adding all the digits of a number.
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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.
