Last updated on May 26th, 2025
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.
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.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 297.
Memorize the rules for these numbers to quickly check divisibility. A number divisible by 297 must be divisible by all three.
If a number passes the divisibility test for 3, 9, and 11, it is divisible by 297.
Students should keep repeating the divisibility process for 3, 9, and 11 until they verify the divisibility of 297.
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.
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.
Is 891 divisible by 297?
Yes, 891 is divisible by 297.
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.
Check the divisibility rule of 297 for 1782.
Yes, 1782 is divisible by 297.
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.
Is 594 divisible by 297?
Yes, 594 is divisible by 297.
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.
Can 374 be divisible by 297 using the divisibility rule?
No, 374 is not divisible by 297.
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.
Check the divisibility rule of 297 for 2376.
Yes, 2376 is divisible by 297.
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.
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.
: She loves to read number jokes and games.