Divisibility Rule of 931

The divisibility rule for 931 is a method by which we can find out if a number is divisible by 931 or not without using the division method. Check whether 1862 is divisible by 931 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3, here in 1862, 2 is the last digit, multiply it by 3. 2 × 3 = 6  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 186–6=180.  

Step 3: As it is shown that 180 is not a multiple of 931, therefore, the number is not divisible by 931. If the result from step 2 was a multiple of 931, then the number would be divisible by 931.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 931.  

Know the multiples of 931:  

Memorize the multiples of 931 (931, 1862, 2793, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 931, then the number is divisible by 931.

Use the negative numbers:  

If the result we get after the subtraction is negative, we will avoid 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 931.  
For example: Check if 3724 is divisible by 931 using the divisibility test.  
Multiply the last digit by 3, i.e., 4 × 3 = 12.  
Subtract the remaining digits excluding the last digit by 12, 372–12=360.  
Since 360 is still a large number, repeat the process: Multiply the last digit by 3, 0 × 3=0.  
Subtract 0 from the remaining numbers excluding the last digit, 36–0=36.  
As 36 is not a multiple of 931, 3724 is not divisible by 931.

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 931 if certain conditions are met.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 931 are 931, 1862, 2793, etc.
   
• Integers: Integers are the numbers that include all the 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 checking and confirming that the results obtained are correct, often using a different method such as division.