193 LearnersLast updated on May 26th, 2025
Divisibility Rule of 680
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 680.
What is the Divisibility Rule of 680?
The divisibility rule for 680 is a method by which we can find out if a number is divisible by 680 or not without using the division method. Check whether 2040 is divisible by 680 with the divisibility rule.
Step 1: Check if the number is divisible by 2 (the last digit should be even). Here in 2040, 0 is the last digit, which is even.
Step 2: Check if the number is divisible by 5 (the last digit should be 0 or 5). Here, 2040 ends with 0.
Step 3: Check if the number is divisible by 17 (use the division method for confirmation or subtract 17 repeatedly to check divisibility). 2040 divided by 17 equals 120, which is a whole number.
Therefore, since 2040 passes all these tests, it is divisible by 680.
Tips and Tricks for Divisibility Rule of 680
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 680.
- Know the factors of 680: Memorize the factors of 680 (2, 5, 17) to quickly check divisibility. If a number is divisible by these factors, it is divisible by 680.
- Use the negative numbers: If you end up with negative results during your calculations, consider the absolute value for checking divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they confirm divisibility for large numbers through smaller factors.
For example: Check if 1360 is divisible by 680 using the divisibility test.
Check divisibility by 2: 1360 ends with 0, which is even.
Check divisibility by 5: 1360 ends with 0.
Check divisibility by 17: 1360 divided by 17 equals 80, which is a whole number.
Thus, 1360 is divisible by 680.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 680
The divisibility rule of 680 helps us to quickly check if a given number is divisible by 680, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are checking divisibility by 2, 5, and 17.
Mistake 2
Not checking all factors.
Students should ensure they check divisibility by all the factors of 680 (2, 5, and 17).
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number result. The process should be repeated until divisibility by all factors is confirmed.
Mistake 4
Not considering the negative values.
Students should consider the absolute values of negative results when checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid error, students should practice regularly.
Divisibility Rule of 680 Examples
Problem 1
Is 2040 divisible by 680?
Yes, 2040 is divisible by 680.
Explanation
To check if 2040 is divisible by 680, follow these steps:
1) Divide 2040 by 680.
2) 2040 ÷ 680 = 3.
3) Since the result is a whole number, 2040 is divisible by 680.
Problem 2
Check the divisibility rule of 680 for 4080.
Yes, 4080 is divisible by 680.
Explanation
To verify if 4080 is divisible by 680, follow these steps:
1) Divide 4080 by 680.
2) 4080 ÷ 680 = 6.
3) Since the result is a whole number, 4080 is divisible by 680.
Problem 3
Is -1360 divisible by 680?
Yes, -1360 is divisible by 680.
Explanation
To check if -1360 is divisible by 680, ignore the negative sign and follow the steps:
1) Divide 1360 by 680.
2) 1360 ÷ 680 = 2.
3) Since the result is a whole number, -1360 is divisible by 680.
Problem 4
Can 1500 be divisible by 680 following the divisibility rule?
No, 1500 isn't divisible by 680.
Explanation
To determine if 1500 is divisible by 680, follow these steps:
1) Divide 1500 by 680.
2) 1500 ÷ 680 ≈ 2.2059.
3) Since the result is not a whole number, 1500 is not divisible by 680.
Problem 5
Check the divisibility rule of 680 for 4760.
Yes, 4760 is divisible by 680.
Explanation
To check if 4760 is divisible by 680, follow these steps:
1) Divide 4760 by 680.
2) 4760 ÷ 680 = 7.
3) Since the result is a whole number, 4760 is divisible by 680.
FAQs on Divisibility Rule of 680
1.What is the divisibility rule for 680?
2.How many numbers are there between 1 and 1000 that are divisible by 680?
3.Is 1360 divisible by 680?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 680 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 680?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 680 with numbers?
8.What role do numbers and Divisibility Rule of 680 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 680 skills?
Important Glossaries for Divisibility Rule of 680
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.
- Factors: Numbers that divide another number completely without leaving a remainder. For example, factors of 680 are 2, 5, and 17.
- Integers: Numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Division: The operation of discovering how many times one number is contained within another.
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About BrightChamps in United Kingdom
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.
