217 LearnersLast updated on May 26th, 2025
Divisibility Rule of 297
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 297.
What is the Divisibility Rule of 297?
The divisibility rule for 297 is a method by which we can find out if a number is divisible by 297 or not without using the division method. Check whether 594 is divisible by 297 with the divisibility rule.
Step 1: Check if the number is divisible by 3. The sum of the digits of 594 is 5+9+4=18, which is divisible by 3.
Step 2: Check if the number is divisible by 9. The sum of the digits, 18, is also divisible by 9.
Step 3: Check if the number is divisible by 11. The alternating sum of the digits of 594 is 5-9+4=0, which is divisible by 11.
Step 4: Since 594 is divisible by 3, 9, and 11, it is divisible by 297.
Tips and Tricks for Divisibility Rule of 297
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 297.
Know the divisibility rules for 3, 9, and 11:
Memorize the rules for these numbers to quickly check divisibility. A number divisible by 297 must be divisible by all three.
Use the properties of divisibility:
If a number passes the divisibility test for 3, 9, and 11, it is divisible by 297.
Repeat the process for large numbers:
Students should keep repeating the divisibility process for 3, 9, and 11 until they verify the divisibility of 297.
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 297
The divisibility rule of 297 helps us to quickly check if the given number is divisible by 297, 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 for checking divisibility by 3, 9, and 11, then confirm divisibility by 297.
Mistake 2
Skipping one of the divisibility checks.
Ensure all three divisibility checks (3, 9, and 11) are completed before concluding divisibility by 297.
Mistake 3
Confusing rules for 3, 9, and 11.
Practice and memorize individual rules for each number to avoid confusion.
Mistake 4
Incorrectly calculating the alternating sum for 11.
Carefully compute the alternating sum of the digits to check divisibility by 11.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the steps, to avoid the error students should practice regularly.
Divisibility Rule of 297 Examples
Problem 1
Is 891 divisible by 297?
Yes, 891 is divisible by 297.
Explanation
To check if 891 is divisible by 297, we can use the divisibility rule for 297, which is a composite number (297 = 3 × 3 × 3 × 11).
1) First, check if 891 is divisible by 3. Sum the digits: 8 + 9 + 1 = 18, which is divisible by 3.
2) Next, check if 891 is divisible by 11. Alternate sum of digits: (8 - 9 + 1 = 0), which is divisible by 11.
3) Since 891 is divisible by both 3 and 11, it is also divisible by 297.
Problem 2
Check the divisibility rule of 297 for 1782.
Yes, 1782 is divisible by 297.
Explanation
To verify if 1782 is divisible by 297, use the divisibility components.
1) Check divisibility by 3: Sum of digits is 1 + 7 + 8 + 2 = 18, which is divisible by 3.
2) Check divisibility by 11: Alternating sum of digits is (1 - 7 + 8 - 2 = 0), which is divisible by 11.
3) Since 1782 meets the criteria for both, it is divisible by 297.
Problem 3
Is 594 divisible by 297?
Yes, 594 is divisible by 297.
Explanation
To determine if 594 is divisible by 297, follow the steps:
1) Check divisibility by 3: Sum of digits is 5 + 9 + 4 = 18, which is divisible by 3.
2) Check divisibility by 11: Alternating sum of digits is (5 - 9 + 4 = 0), which is divisible by 11.
3) Since 594 is divisible by both 3 and 11, it is divisible by 297.
Problem 4
Can 374 be divisible by 297 using the divisibility rule?
No, 374 is not divisible by 297.
Explanation
To check if 374 is divisible by 297, apply the divisibility checks:
1) Check divisibility by 3: Sum of digits is 3 + 7 + 4 = 14, which is not divisible by 3.
2) Since 374 fails the divisibility test for 3, it is not divisible by 297.
Problem 5
Check the divisibility rule of 297 for 2376.
Yes, 2376 is divisible by 297.
Explanation
To check if 2376 is divisible by 297, use the rules for divisibility.
1) Check divisibility by 3: Sum of digits is 2 + 3 + 7 + 6 = 18, which is divisible by 3.
2) Check divisibility by 11: Alternating sum of digits is (2 - 3 + 7 - 6 = 0), which is divisible by 11.
3) Since 2376 is divisible by both 3 and 11, it is divisible by 297.
FAQs on Divisibility Rule of 297
1.What is the divisibility rule for 297?
2.How many numbers are there between 1 and 1000 that are divisible by 297?
3.Is 891 divisible by 297?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 297 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 297?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 297 with numbers?
8.What role do numbers and Divisibility Rule of 297 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 297 skills?
Important Glossaries for Divisibility Rule of 297
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer.
- Sum of digits: The total obtained by adding all the digits of a number.
- Alternating sum: A sum where you alternately add and subtract the digits of a number.
- Integer: A number that includes all whole numbers, negative numbers, and zero.
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About BrightChamps in Qatar
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.
