Divisibility Rule of 923

The divisibility rule for 923 is a method by which we can find out if a number is divisible by 923 or not without using the division method. Check whether 1846 is divisible by 923 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1846, 6 is the last digit, multiply it by 2. 6 × 2 = 12.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 184–12 = 172.

Step 3: As it is shown that 172 is not a multiple of 923, the number is not divisible by 923. If the result from step 2 isn't a multiple of 923, then the number isn't divisible by 923.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 923.

Know the multiples of 923:  

Memorize the multiples of 923 (923, 1846, 2769, 3692… etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 923, then the number is divisible by 923.

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 923. 

For example: Check if 3692 is divisible by 923 using the divisibility test. Multiply the last digit by 2, i.e., 2 × 2 = 4. Subtract the remaining digits excluding the last digit by 4, 369–4 = 365. 

Since 365 is not a multiple of 923, repeat the process. Multiply the last digit by 2, 5 × 2 = 10. Now subtracting 10 from the remaining numbers excluding the last digit, 36–10 = 26. As 26 is not a multiple of 923, 3692 is not divisible by 923.

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 923 are 923, 1846, 2769, 3692, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is the process of finding out the difference between two numbers, by reducing one number from another.
   
• Verification: The process of checking calculations or results to ensure they are accurate.