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122 LearnersLast updated on February 16th, 2025
Divisibility Rule of 237
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 237.
What is the Divisibility Rule of 237?
The divisibility rule for 237 is a method by which we can determine if a number is divisible by 237 or not without using the division method. Check whether 711 is divisible by 237 with the divisibility rule.
Step 1: Break down the number into smaller parts for simplification, if possible. In 711, consider it as 700 + 11.
Step 2: Find the sum of these parts. In this case, it remains 711.
Step 3: Since 711 is a known multiple of 237 (237 x 3 = 711), the number is divisible by 237. If the resulting number after simplifying breaks down into a known multiple of 237, then the original number is divisible by 237.
Tips and Tricks for Divisibility Rule of 237
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 237.
Know the multiples of 237:
Memorize the multiples of 237 (237, 474, 711, 948, etc.) to quickly check divisibility. If the simplified result is a multiple of 237, then the number is divisible by 237.
Approximate close numbers:
If you approximate the number close to a multiple of 237, you can check the proximity to identify divisibility.
Use subtraction for large numbers:
For large numbers, break them down into manageable parts or use subtraction by known multiples of 237 to simplify. For example, check if 1185 is divisible by 237. Subtract a known multiple of 237 from 1185, such as 948 (1185 - 948 = 237), and since 237 itself is a multiple, the original number is divisible by 237.
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 237
The divisibility rule of 237 helps us quickly check if the given number is divisible by 237, 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 using known multiples.
Students should familiarize themselves with known multiples of 237 to aid in quick checks.
Divisibility Rule of 237 Examples
Problem 1
Is 711 divisible by 237?
Yes, 711 is divisible by 237.
Explanation
To check if 711 is divisible by 237, we can divide 711 by 237.
1) Divide 711 by 237, which equals 3.
2) The quotient is a whole number, meaning 711 is divisible by 237.
Problem 2
Check the divisibility rule of 237 for 948.
Yes, 948 is divisible by 237.
Explanation
For checking divisibility by 237, we divide the number.
1) Divide 948 by 237, which equals 4.
2) The quotient is a whole number, indicating that 948 is divisible by 237.
Problem 3
Is 1422 divisible by 237?
Yes, 1422 is divisible by 237.
Explanation
To determine if 1422 is divisible by 237, perform the division.
1) Divide 1422 by 237, which equals 6.
2) The result is a whole number, confirming that 1422 is divisible by 237.
Problem 4
Can 500 be divisible by 237?
No, 500 isn't divisible by 237.
Explanation
To check if 500 is divisible by 237, divide the number.
1) Divide 500 by 237, which is approximately 2.11.
2) The quotient is not a whole number, so 500 is not divisible by 237.
Problem 5
Check the divisibility rule of 237 for 1896.
Yes, 1896 is divisible by 237.
Explanation
To confirm divisibility of 1896 by 237, divide the number.
1) Divide 1896 by 237, which equals 8.
2) The quotient is a whole number, thus 1896 is divisible by 237.
FAQs on Divisibility Rule of 237
1. What is the divisibility rule for 237?
2.How many numbers are there between 1 and 1000 that are divisible by 237?
3.Is 948 divisible by 237?
4.What if I simplify to 0 after subtraction?
5. Does the divisibility rule of 237 apply to all integers?
Important Glossaries for Divisibility Rule of 237:
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without actual division.
- Multiples: Numbers obtained by multiplying a given number by integers (e.g., multiples of 237 are 237, 474, 711, etc.).
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Simplification: The process of breaking down a number into smaller, more manageable parts to facilitate easier calculations.
- Verification: The process of using division or other methods to confirm the accuracy of a calculation, especially regarding divisibility.
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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.
