Divisibility Rule of 92

The divisibility rule for 92 is a method by which we can find out if a number is divisible by 92 or not without using the division method. Check whether 8280 is divisible by 92 with the divisibility rule.  

Step 1: Divide the number into two parts, the last two digits and the rest. Here in 8280, 80 is the last part, and 82 is the remaining part.

Step 2: Subtract twice the last two digits from the remaining part. That is, 82 - (2 × 80) = 82 - 160 = -78.

Step 3: Since -78 is not divisible by 92, 8280 is not divisible by 92. If the result from step 2 were a multiple of 92, then the number would be divisible by 92.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 92.
 

• Know the multiples of 92: Memorize the multiples of 92 (92, 184, 276, 368, 460, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 92, then the number is divisible by 92.
   
• 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 92.
  
  For example, check if 1840 is divisible by 92 using the divisibility test. Divide into two parts: last two digits are 40, and remaining is 18. Subtract twice the last two digits from the remaining part: 18 - (2 × 40) = 18 - 80 = -62. Repeat: 62 is not divisible by 92, so 1840 is not divisible by 92.
   
• 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 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 even numbers.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 92 are 92, 184, 276, 368, etc.
   
• Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
   
• Negative numbers: Numbers less than zero. In divisibility rules, negative results can be treated as positive to check divisibility.
   
• Integer: A whole number that can be positive, negative, or zero.