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124 LearnersLast updated on February 19th, 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
Divisibility Rule of 756 Examples
Problem 1
Is 1512 divisible by 756?
Explanation
Problem 2
Check the divisibility rule of 756 for 3024.
Explanation
Problem 3
Is 4536 divisible by 756?
Explanation
Problem 4
Can 5000 be divisible by 756 following the divisibility rule?
Explanation
Problem 5
Check the divisibility rule of 756 for 9072.
Explanation
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?
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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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.
