193 LearnersLast updated on May 26th, 2025
Divisibility Rule of 686
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 686.
What is the Divisibility Rule of 686?
The divisibility rule for 686 is a method by which we can find out if a number is divisible by 686 or not without using the division method. Check whether 1372 is divisible by 686 with the divisibility rule.
Step 1: Divide the number into two parts, one part being the last three digits. Here in 1372, the last three digits are 372.
Step 2: Check if the number formed by the last three digits is a multiple of 686. If 372 is a multiple of 686, then 1372 is divisible by 686.
Step 3: If the result from step 2 isn't a multiple of 686, then the number isn't divisible by 686.
Tips and Tricks for Divisibility Rule of 686
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 686.
- Know the multiples of 686: Memorize the multiples of 686 (686, 1372, 2058, 2744...etc.) to quickly check the divisibility. If the result from step 2 is a multiple of 686, then the number is divisible by 686.
- 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 686
The divisibility rule of 686 helps us to quickly check if the given number is divisible by 686, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are checking if the last three digits form a number that is a multiple of 686.
Mistake 2
Misidentifying the last three digits.
Students should ensure accuracy in identifying the last three digits to avoid miscalculations.
Mistake 3
Incorrect application of the divisibility by 2.
Ensure the number is divisible by 2 at each step. If it isn't, the number isn't divisible by 686.
Mistake 4
Not repeating the process when the result is large.
Continue dividing by 2 until you reach a number that can be easily checked against multiples of 686.
Mistake 5
Confusing the steps.
Practice regularly to remember the steps clearly.
Divisibility Rule of 686 Examples
Problem 1
Is 2058 divisible by 686?
No, 2058 is not divisible by 686.
Explanation
To check divisibility by 686, follow these steps:
1) Check if 2058 divided by 686 results in a whole number.
2) Divide 2058 by 686, which equals approximately 3.0029.
3) Since the result is not a whole number, 2058 is not divisible by 686.
Problem 2
Check the divisibility rule of 686 for 6860.
Yes, 6860 is divisible by 686.
Explanation
For checking divisibility by 686:
1) Divide 6860 by 686.
2) The result is exactly 10.
3) Since the result is a whole number, 6860 is divisible by 686.
Problem 3
Is -1372 divisible by 686?
Yes, -1372 is divisible by 686.
Explanation
To check if -1372 is divisible by 686:
1) Remove the negative sign and divide 1372 by 686.
2) The result is exactly 2.
3) Since 2 is a whole number, -1372 is divisible by 686.
Problem 4
Can 500 be divisible by 686 following the divisibility rule?
No, 500 is not divisible by 686.
Explanation
To check the divisibility of 500 by 686:
1) Divide 500 by 686.
2) The result is approximately 0.7283.
3) Since the result is not a whole number, 500 is not divisible by 686.
Problem 5
Check the divisibility rule of 686 for 1372.
Yes, 1372 is divisible by 686.
Explanation
To verify if 1372 is divisible by 686:
1) Divide 1372 by 686.
2) The result is exactly 2.
3) Since the result is a whole number, 1372 is divisible by 686.
FAQs on Divisibility Rule of 686
1.What is the divisibility rule for 686?
2.How many numbers are there between 1 and 5000 that are divisible by 686?
3.Is 1372 divisible by 686?
4.What if the number formed by the last three digits is zero?
5.Does the divisibility rule of 686 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 686?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 686 with numbers?
8.What role do numbers and Divisibility Rule of 686 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 686 skills?
Important Glossary for Divisibility Rule of 686
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are numbers obtained by multiplying a given number by integers.
- Integer: An integer is a whole number that can be positive, negative, or zero.
- Verification: The process of confirming the accuracy of a result, often by using an alternate method like division.
- Calculation: The process of using mathematics to find an answer or solve a problem, involving operations such as addition, subtraction, multiplication, and division.
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About BrightChamps in Bahrain
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.
