212 LearnersLast updated on May 26th, 2025
Divisibility Rule of 756
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, divisibility rules are useful for quick calculations, evenly distributing items, and sorting. In this topic, we will learn about the divisibility rule of 756.
What is the Divisibility Rule of 756?
The divisibility rule for 756 helps us determine if a number is divisible by 756 without performing division. Let's check whether 1512 is divisible by 756 using this rule.
Step 1: Check the divisibility of the number by 2, 3, and 7, the prime factors of 756. If a number is divisible by all these prime factors, it is divisible by 756.
For divisibility by 2: The last digit of 1512 is 2, which is even. Thus, 1512 is divisible by 2.
For divisibility by 3: Add the digits of 1512 (1 + 5 + 1 + 2 = 9). Since 9 is divisible by 3, 1512 is divisible by 3.
For divisibility by 7: Double the last digit and subtract it from the rest of the number. Here, double the last digit (2 × 2 = 4) and subtract from 151 (151 - 4 = 147). Since 147 is divisible by 7, 1512 is divisible by 7.
Step 2: Since 1512 is divisible by 2, 3, and 7, it is divisible by 756.
Tips and Tricks for Divisibility Rule of 756
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 756.
Know the prime factors of 756:
Memorize the prime factors of 756 (2, 3, 7) and their multiples to quickly check divisibility.
Repeat the process for larger numbers:
If dealing with large numbers, apply the divisibility rules for 2, 3, and 7 repeatedly until confirming divisibility.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results, reinforcing their learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 756
The divisibility rule of 756 helps us quickly check if a number is divisible by 756, but common mistakes like calculation errors can lead to incorrect results. Here are some common mistakes and solutions.
Mistake 1
Not checking all prime factors.
Ensure to check divisibility by 2, 3, and 7, as all must be satisfied for divisibility by 756.
Mistake 2
Incorrect calculation of sums or products.
Double-check calculations to avoid errors, especially when adding digits or multiplying.
Mistake 3
Stopping the process early.
Continue checking divisibility until all conditions are satisfied.
Mistake 4
Not verifying with large numbers.
Verify calculations with large numbers using division to ensure accuracy.
Mistake 5
Confusing the steps.
Practice regularly to memorize the steps and avoid confusion.
Divisibility Rule of 756 Examples
Problem 1
Is 1512 divisible by 756?
Yes, 1512 is divisible by 756.
Explanation
To check if 1512 is divisible by 756, we need to see if dividing 1512 by 756 results in an integer.
1) Perform the division: 1512 ÷ 756 = 2.
2) Since the result is an integer, 1512 is divisible by 756.
Problem 2
Check the divisibility rule of 756 for 3024.
Yes, 3024 is divisible by 756.
Explanation
For checking the divisibility rule of 756 for 3024, follow these steps:
1) Divide 3024 by 756: 3024 ÷ 756 = 4.
2) The result is an integer, confirming that 3024 is divisible by 756.
Problem 3
Is 4536 divisible by 756?
Yes, 4536 is divisible by 756.
Explanation
To check if 4536 is divisible by 756:
1) Divide 4536 by 756: 4536 ÷ 756 = 6.
2) The result is an integer, which means 4536 is divisible by 756.
Problem 4
Can 5000 be divisible by 756 following the divisibility rule?
No, 5000 isn't divisible by 756.
Explanation
To check if 5000 is divisible by 756:
1) Divide 5000 by 756: 5000 ÷ 756 ≈ 6.613.
2) The result is not an integer, so 5000 isn't divisible by 756.
Problem 5
Check the divisibility rule of 756 for 9072.
Yes, 9072 is divisible by 756.
Explanation
To verify the divisibility of 9072 by 756:
1) Divide 9072 by 756: 9072 ÷ 756 = 12.
2) Since the result is an integer, 9072 is divisible by 756.
FAQs on Divisibility Rule of 756
1.What is the divisibility rule for 756?
2.How many numbers are there between 1 and 1000 that are divisible by 756?
3.Is 2268 divisible by 756?
4. What if I get a remainder of 0 after division?
5.Does the divisibility rule of 756 apply to negative integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 756?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 756 with numbers?
8.What role do numbers and Divisibility Rule of 756 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Divisibility Rule of 756 skills?
Important Glossaries for Divisibility Rule of 756
- Divisibility rule: The set of guidelines used to determine if a number is divisible by another number without performing division.
- Prime factors: The prime numbers that multiply together to give a product. For 756, the prime factors are 2, 3, and 7.
- Remainder: The amount left over after division that indicates whether a number is divisible by another.
- Subtraction: The process of deducting one number from another, used in determining divisibility by 7.
- Multiples: The result of multiplying a number by an integer. For example, multiples of 756 include 756, 1512, 2268, etc.
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About BrightChamps in Oman
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.
