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.
 

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.
 

• 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.