219 LearnersLast updated on May 26th, 2025
Divisibility Rule of 676
The divisibility rule is a way to determine whether a number is divisible by another number without using traditional division. 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 676.
What is the Divisibility Rule of 676?
The divisibility rule for 676 is a method by which we can determine if a number is divisible by 676 without using the division method. Let's check whether 2704 is divisible by 676 using this rule.
Step 1: Recognize that 676 = 26 × 26. So, a number is divisible by 676 if it is divisible by 26 twice in succession.
Step 2: Divide the number by 26. Here, 2704 ÷ 26 = 104.
Step 3: Divide the result from Step 2 by 26. Here, 104 ÷ 26 = 4.
Step 4: Since we reached a whole number (4), 2704 is divisible by 676.
Tips and Tricks for Divisibility Rule of 676
Learning divisibility rules will help students master division. Let’s explore some tips and tricks for the divisibility rule of 676.
- Know the multiples of 676: Memorize the multiples of 676 (676, 1352, 2028, 2704, etc.) to quickly check divisibility.
- Use division in steps: If you cannot divide a number directly by 676, divide it by 26 two times in succession.
- Verify using smaller numbers: Break down larger numbers into smaller parts for divisibility by 676 by checking if they are divisible by 26 twice.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them confirm their findings.
Common Mistakes and How to Avoid Them in Divisibility Rule of 676
The divisibility rule of 676 helps us quickly determine if a number is divisible by 676, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by dividing the number by 26 twice to check if it results in a whole number.
Mistake 2
Forgetting to divide by 26 twice.
Remember that the process involves two successive divisions by 26.
Mistake 3
Not recognizing 676 as 26 times 26.
Understand that 676 is the square of 26, which helps to apply the rule correctly.
Mistake 4
Confusing with other divisibility rules.
Practice regularly to ensure clarity on the specific rule for 676.
Mistake 5
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Divisibility Rule of 676 Examples
Problem 1
Can 1352 be divided evenly by 676?
Yes, 1352 is divisible by 676.
Explanation
To determine if 1352 is divisible by 676, divide it directly by 676 to check if it results in a whole number.
1) 1352 ÷ 676 = 2.
2) Since the division results in a whole number, 1352 is divisible by 676.
Problem 2
Verify the divisibility of 2704 by 676.
Yes, 2704 is divisible by 676.
Explanation
To verify if 2704 is divisible by 676, perform the division.
1) 2704 ÷ 676 = 4.
2) The result is a whole number, confirming that 2704 is divisible by 676.
Problem 3
Is 3380 divisible by 676?
No, 3380 is not divisible by 676.
Explanation
Check the divisibility by dividing 3380 by 676.
1) 3380 ÷ 676 ≈ 5.
2) The result is not a whole number, indicating that 3380 is not divisible by 676.
Problem 4
Determine if 6760 is divisible by 676.
Yes, 6760 is divisible by 676.
Explanation
To determine if 6760 is divisible by 676, perform the division.
1) 6760 ÷ 676 = 10.
2) The division results in a whole number, so 6760 is divisible by 676.
Problem 5
Check the divisibility of 2028 by 676.
No, 2028 is not divisible by 676.
Explanation
To check if 2028 is divisible by 676, divide the number.
1) 2028 ÷ 676 ≈ 3.
2) Since the result is not a whole number, 2028 is not divisible by 676.
FAQs on Divisibility Rule of 676
1.What is the divisibility rule for 676?
2.How many numbers are there between 1 and 5000 that are divisible by 676?
3.Is 1352 divisible by 676?
4.What if I get a fraction after dividing?
5.Does the divisibility rule of 676 apply to negative numbers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 676?
7.What are some fun ways kids in United States can practice Divisibility Rule of 676 with numbers?
8.What role do numbers and Divisibility Rule of 676 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 676 skills?
Important Glossaries for Divisibility Rule of 676
- Divisibility rule: A set of rules used to determine whether a number can be divided evenly by another number.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 676 are 676, 1352, 2028, etc.
- Integer: Whole numbers that include all positive and negative numbers, as well as zero.
- Division: The process of determining how many times one number is contained within another.
- Successive: Following in sequence, such as dividing by 26 twice in the divisibility rule of 676.
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About BrightChamps in United States
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.
