Divisibility Rule of 41

The divisibility rule for 41 is a method by which we can determine if a number is divisible by 41 without using the division method. Check whether 2465 is divisible by 41 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 4, here in 2465, 5 is the last digit. Multiply it by 4. 5 × 4 = 20
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 246–20 = 226.
 

Step 3: As it is shown that 226 is a multiple of 41, the number is divisible by 41. If the result from step 2 isn't a multiple of 41, then the number isn't divisible by 41.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 41.
 

Know the multiples of 41:  

Memorize the multiples of 41 (41, 82, 123, 164, 205, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 41, then the number is divisible by 41.

Use negative numbers:  

If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:  

Students should keep repeating the divisibility process until they reach a small number that is divisible by 41.  
For example: Check if 8612 is divisible by 41 using the divisibility test.  

Multiply the last digit by 4, i.e., 2 × 4 = 8.  

Subtract the remaining digits excluding the last digit by 8, 861–8 = 853.  

Since 853 is a large number, repeat the process: 3 × 4 = 12.  

Subtract 12 from 85 (excluding the last digit), 85–12 = 73.  

Since 73 is not a multiple of 41, 8612 is not divisible by 41.

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 verify and also learn.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without direct division. For example, a number is divisible by 2 if it ends in an even number.
   
• Multiples: These are the results obtained by multiplying a number by an integer. For example, multiples of 41 are 41, 82, 123, 164, etc.
   
• Integers: Integers 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: The process of confirming the correctness of a result, often by using a different method such as direct division.