Divisibility Rule of 937

The divisibility rule for 937 is a method by which we can find out if a number is divisible by 937 or not without using the division method. Check whether 561,079 is divisible by 937 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3, here in 561,079, 9 is the last digit, so multiply it by 3. 9 × 3 = 27 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 56107 - 27 = 56080.

Step 3: As it is shown that 56080 is not a multiple of 937, the number is not divisible by 937. If the result from step 2 is a multiple of 937, then the number is divisible by 937.

Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 937. 

Know the multiples of 937:  

Memorize the multiples of 937 (937, 1874, 2811, 3748, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 937, then the number is divisible by 937.

Use the 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 937.  
Example: Check if 1,873,946 is divisible by 937 using the divisibility test.  
Multiply the last digit by 3, i.e., 6 × 3 = 18.  
Subtract the remaining digits excluding the last digit by 18, 187394 - 18 = 187376.  
Still, 187376 is a large number, hence we will repeat the process again and multiply the last digit by 3, i.e., 6 × 3 = 18.  
Now subtracting 18 from the remaining numbers excluding the last digit, 18737 - 18 = 18719.  
Since 18719 is not a multiple of 937, 1,873,946 is not divisible by 937.

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: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even number.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 937 are 937, 1874, 2811, 3748, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
   
• Verification: The process of using the division method to confirm the results obtained using the divisibility rule.