201 LearnersLast updated on May 26th, 2025
Divisibility Rule of 797
The divisibility rule is a way to determine whether a number is divisible by another number without using the traditional division method. In real life, we can use divisibility rules for quick math, distributing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 797.
What is the Divisibility Rule of 797?
The divisibility rule for 797 is a method by which we can find out if a number is divisible by 797 or not without using the division method. Let's check whether 7970 is divisible by 797 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In 7970, 0 is the last digit, so multiply it by 2. 0 × 2 = 0
Step 2: Subtract the result from Step 1 from the remaining value, excluding the last digit. i.e., 797 - 0 = 797.
Step 3: Since 797 is a multiple of 797, the number 7970 is divisible by 797. If the result from step 2 isn't a multiple of 797, then the number isn't divisible by 797.
Tips and Tricks for Divisibility Rule of 797
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 797.
Know the multiples of 797:
Memorize the multiples of 797 (797, 1594, 2391, 3188, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 797, then the number is divisible by 797.
Use the negative numbers:
If the result we get after subtraction is negative, we will avoid the symbol and consider it as positive for checking divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 797.
For example: Check if 79700 is divisible by 797 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 7970 - 0 = 7970. Since 7970 is still large, repeat the process:
0 × 2 = 0; 797 - 0 = 797. As 797 is a multiple of 797, 79700 is divisible by 797.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 797
The divisibility rule of 797 helps us quickly check if a given number is divisible by 797, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps
Students should follow the correct steps: multiply the last digit by 2 and then subtract the result from the remaining digits excluding the last digit, checking if it is a multiple of 797.
Mistake 2
Including the last digit in subtraction.
Students should remember to exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number as a result after subtraction. The process should be repeated until we get a small number that is divisible by 797.
Mistake 4
Not considering negative values.
Students sometimes ignore negative values, thinking divisibility rules don't apply. But the divisibility rule applies to negative values too, so students should consider negative results as positive when checking divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 797 Examples
Problem 1
Is 2391 divisible by 797?
Yes, 2391 is divisible by 797.
Explanation
To check if 2391 is divisible by 797, we can use the fact that 2391 is exactly 797 multiplied by 3. Therefore, 2391 is divisible by 797.
Problem 2
Check the divisibility rule of 797 for 1594.
No, 1594 is not divisible by 797.
Explanation
To determine the divisibility of 1594 by 797, we can try dividing 1594 by 797. The quotient is not an integer, which indicates that 1594 is not divisible by 797.
Problem 3
Is 796 divisible by 797?
No, 796 is not divisible by 797
Explanation
Since 796 is one less than 797, it is clearly not divisible by 797. Divisibility requires the number to be equal to or a multiple of 797.
Problem 4
Can 0 be divisible by 797 following the divisibility rule?
Yes, 0 is divisible by 797
Explanation
Any number, including 0, is divisible by 797 because 0 divided by any non-zero number is 0, which is an integer.
Problem 5
Check the divisibility rule of 797 for 7970.
Yes, 7970 is divisible by 797.
Explanation
Since 7970 is exactly 797 multiplied by 10, it is divisible by 797.
FAQs on Divisibility Rule of 797
1.What is the divisibility rule for 797?
2.How many numbers are there between 1 and 8000 that are divisible by 797?
3. Is 3188 divisible by 797?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 797 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 797?
7.What are some fun ways kids in United States can practice Divisibility Rule of 797 with numbers?
8.What role do numbers and Divisibility Rule of 797 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 797 skills?
Important Glossaries for Divisibility Rule of 797
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by a divisor if it follows a specific rule.
- Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 797 are 797, 1594, 2391, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers, by reducing one number from another.
- Verification: Verification is the process of confirming that a result obtained through a method is correct, often by using another method such as direct division.
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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.
