Divisibility Rule of 93

The divisibility rule for 93 is a method by which we can find out if a number is divisible by 93 or not without using the division method. Check whether 3729 is divisible by 93 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 10. Here in 3729, 9 is the last digit, so multiply it by 10. 9 × 10 = 90.
 

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 372–90 = 282.
 

Step 3: As it is shown that 282 is not a multiple of 93, repeat the process for 282. Multiply the last digit by 10, 2 × 10 = 20.
 

Step 4: Subtract 20 from the remaining number, 28–20 = 8.
 

Step 5: Since 8 is not a multiple of 93, 3729 is not divisible by 93.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 93.
 

• Know the multiples of 93: Memorize the multiples of 93 (93, 186, 279, 372, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 93, then the number is divisible by 93.
   
• Use the negative numbers: If the result we get after 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 93.
  
  For example, check if 5589 is divisible by 93 using the divisibility test. Multiply the last digit by 10, i.e., 9 × 10 = 90. Subtract the remaining digits excluding the last digit by 90, 558–90 = 468. Repeat the process: 8 × 10 = 80, 46–80 = -34. Since -34 is not a multiple of 93, 5589 is not divisible by 93.
   
• 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 93 if the steps result in a multiple of 93.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 93 are 93, 186, 279, 372, 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 confirming the accuracy of a result, often by using an alternative method such as direct division.