Divisibility Rule of 367

The divisibility rule for 367 is a method by which we can find out if a number is divisible by 367 or not without using the division method. Check whether 110,101 is divisible by 367 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 110,101, 1 is the last digit, multiply it by 2. 1 × 2 = 2.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 11,010 – 2 = 11,008.
 

Step 3: Divide the result from Step 2 by 367.  If the result is an integer, then the number is divisible by 367. 
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 367.
 

• Know the multiples of 367: Memorize the multiples of 367 (367, 734, 1101, 1468, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 367, then the number is divisible by 367.
   
• Use 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 367.
  
  For example, check if 110,101 is divisible by 367 using the divisibility test. Multiply the last digit by 2, i.e., 1 × 2 = 2.
  
  Subtract the remaining digits excluding the last digit by 2, 11,010 – 2 = 11,008. Still, 11,008 is a large number, hence repeat the process again.
   
• 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.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer.
   
• Integers: Integers 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 or proving the correctness of a calculation or result.