206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 697
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 697.
What is the Divisibility Rule of 697?
The divisibility rule for 697 is a method by which we can find out if a number is divisible by 697 or not without using the division method. Check whether 1394 is divisible by 697 with the divisibility rule.
Step 1: Divide the given number into two parts, here in 1394, the number can be split as 13 and 94.
Step 2: Multiply the first part (13) by 697 and the second part (94) by 1. 13 × 697 + 94 × 1 = 1394.
Step 3: If the sum from Step 2 equals the original number (1394), then the number is divisible by 697. If the result from step 2 isn't equal to the original number, then the number isn't divisible by 697.
Tips and Tricks for Divisibility Rule of 697
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 697.
- Know the multiples of 697: Memorize the multiples of 697 (697, 1394, 2091, 2788, etc.) to quickly check the divisibility. If the result from the calculation equals the original number, then the number is divisible by 697.
- Use the subtraction method: If the result we get after the calculation is negative, consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a conclusion. For example, check if 4182 is divisible by 697 using the divisibility test.
Divide 4182 into two parts: 4 and 182.
Multiply 4 by 697 and 182 by 1. 4 × 697 + 182 × 1 = 4182.
Since the result equals the original number, 4182 is divisible by 697.
- 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 697
The divisibility rule of 697 helps us to quickly check if the given number is divisible by 697, but common mistakes like calculation errors lead to incorrect results. 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 that involve splitting the number and multiplying the parts by the respective multipliers.
Mistake 2
Not verifying the results.
Students should ensure that their calculations are correct by verifying their final results.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them; to avoid this error, students should practice regularly.
Mistake 4
Not considering the results properly.
Students should ensure that the result of their calculation exactly matches the original number to confirm divisibility.
Mistake 5
Skipping the verification step.
Always perform a final check using division to ensure accuracy.
Divisibility Rule of 697 Examples
Problem 1
Is 2091 divisible by 697?
Yes, 2091 is divisible by 697.
Explanation
To determine if 2091 is divisible by 697, we can compare it to potential multiples of 697.
1) Calculate 697 x 3 = 2091.
2) Since 2091 equals 697 multiplied by 3, 2091 is divisible by 697.
Problem 2
Check the divisibility of 1394 by 697.
Yes, 1394 is divisible by 697.
Explanation
To check the divisibility of 1394 by 697, we follow this process:
1) Recognize 1394 as a possible multiple of 697.
2) Calculate 697 x 2 = 1394.
3) As 1394 equals 697 multiplied by 2, it is divisible by 697.
Problem 3
Is 4886 divisible by 697?
Yes, 4886 is divisible by 697.
Explanation
To verify if 4886 is divisible by 697:
1) Consider possible multiples of 697.
2) Calculate 697 x 7 = 4886.
3) Since 4886 equals 697 multiplied by 7, it is divisible by 697.
Problem 4
Can 3500 be divisible by 697?
No, 3500 is not divisible by 697.
Explanation
To check the divisibility of 3500 by 697:
1) Calculate approximate multiples of 697 that are close to 3500.
2) Neither 697 x 5 = 3485 nor 697 x 6 = 4182 matches 3500.
3) Since 3500 is not an exact multiple of 697, it is not divisible by 697.
Problem 5
Check the divisibility rule of 697 for 6970.
Yes, 6970 is divisible by 697.
Explanation
To determine if 6970 is divisible by 697:
1) Recognize that 6970 might be a multiple of 697.
2) Calculate 697 x 10 = 6970.
3) Since 6970 equals 697 multiplied by 10, it is divisible by 697.
FAQs on Divisibility Rule of 697
1.What is the divisibility rule for 697?
2.How many numbers are there between 1 and 10000 that are divisible by 697?
3.Is 2091 divisible by 697?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 697 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 697?
7.What are some fun ways kids in India can practice Divisibility Rule of 697 with numbers?
8.What role do numbers and Divisibility Rule of 697 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 697 skills?
Important Glossaries for Divisibility Rule of 697
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 697 are 697, 1394, 2091, 2788, etc.
- Integer: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Calculation: The process of using mathematics to find an answer.
- Verification: The process of checking that a result is correct or valid.
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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.
