215 LearnersLast updated on May 26th, 2025
Divisibility Rule of 726
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 the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 726.
What is the Divisibility Rule of 726?
The divisibility rule for 726 is a method to find out if a number is divisible by 726 without using the division method. Check whether 1452 is divisible by 726 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 11 since 726 is the product of these numbers (726 = 2 × 3 × 11 × 11). First, check divisibility by 2: 1452 ends in 2, so it is divisible by 2.
Step 2: Check divisibility by 3. Add the digits of 1452: 1 + 4 + 5 + 2 = 12. Since 12 is divisible by 3, 1452 is divisible by 3.
Step 3: Check divisibility by 11. Subtract the sum of the digits at odd positions and the sum of the digits at even positions: (1 + 5) - (4 + 2) = 6 - 6 = 0. Since the result is 0, 1452 is divisible by 11.
Since 1452 is divisible by 2, 3, and 11, it is divisible by 726.
Tips and Tricks for Divisibility Rule of 726
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 726.
Understand the factorization:
Know that 726 = 2 × 3 × 11 × 11 and check divisibility by these factors.
Use the divisibility rules for 2, 3, and 11:
Ensure the number is divisible by 2, 3, and 11 to confirm divisibility by 726.
Confirm with smaller divisibility rules:
If a number is divisible by each of 2, 3, and 11, it simplifies checking divisibility by 726.
Verify with the division method:
Use the division method as a way to verify and cross-check your results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 726
The divisibility rule of 726 helps us check if a given number is divisible by 726, 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 checking all factors.
Ensure you check divisibility by 2, 3, and 11.
Mistake 2
Misapplying individual rules.
Apply the correct divisibility rules for 2 (even numbers), 3 (sum of digits divisible by 3), and 11 (alternating sum and difference).
Mistake 3
Forgetting to verify with division.
Always verify with division to catch errors.
Mistake 4
Confusing divisibility rules.
Practice regularly to become familiar with the steps for each factor.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 726 Examples
Problem 1
Is 2178 divisible by 726?
No, 2178 is not divisible by 726.
Explanation
To determine if 2178 is divisible by 726, we follow these steps:
1) Divide 2178 by 726.
2) The result is approximately 3, with a remainder, indicating that 2178 is not divisible by 726.
Problem 2
Check the divisibility rule of 726 for 1452.
No, 1452 is not divisible by 726.
Explanation
To check if 1452 is divisible by 726:
1) Divide 1452 by 726.
2) The result is approximately 2, with a remainder, so 1452 is not divisible by 726
Problem 3
Is -4356 divisible by 726?
Yes, -4356 is divisible by 726.
Explanation
To check if -4356 is divisible by 726, we focus on the absolute value:
1) Divide 4356 by 726.
2) The quotient is exactly 6, with no remainder, confirming divisibility.
Problem 4
Can 5808 be divisible by 726 following the divisibility rule?
Yes, 5808 is divisible by 726.
Explanation
To check if 5808 is divisible by 726:
1) Divide 5808 by 726.
2) The quotient is exactly 8, with no remainder, confirming divisibility.
Problem 5
Check the divisibility rule of 726 for 6534.
No, 6534 is not divisible by 726.
Explanation
To check the divisibility of 6534 by 726:
1) Divide 6534 by 726.
2) The result is approximately 9, with a remainder, indicating that 6534 is not divisible by 726.
FAQs on Divisibility Rule of 726
1.What is the divisibility rule for 726?
2.How do you check if a number is divisible by 726?
3.Is 1452 divisible by 726?
4.Can the divisibility rule apply to negative numbers?
5.Does the divisibility rule of 726 apply to all numbers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 726?
7.What are some fun ways kids in India can practice Divisibility Rule of 726 with numbers?
8.What role do numbers and Divisibility Rule of 726 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 726 skills?
Important Glossaries for Divisibility Rule of 726
- Divisibility Rule: A set of rules to determine if a number is divisible by another without performing division.
- Factors: Numbers that multiply to form another number (e.g., 726 = 2 × 3 × 11 × 11).
- Even Numbers: Numbers divisible by 2.
- Sum of Digits: The total obtained by adding all digits of a number.
- Alternating Sum: The difference between the sum of digits at odd and even positions.
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About BrightChamps in India
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.
