Divisibility Rule of 178

The divisibility rule for 178 is a method by which we can find out if a number is divisible by 178 or not without using the division method. Check whether 7128 is divisible by 178 using the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 7128, 8 is the last digit, multiply it by 2. 8 × 2 = 16
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 712–16 = 696.
 

Step 3: As it is shown that 696 is a multiple of 178, therefore, the number is divisible by 178. If the result from step 2 isn't a multiple of 178, then the number isn't divisible by 178.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 178.
 

• Know the multiples of 178: Memorize the multiples of 178 (178, 356, 534, 712, 890, … etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 178, then the number is divisible by 178.
   
• 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 178.
  
  For example: Check if 3560 is divisible by 178 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0.
  
  Subtract the remaining digits excluding the last digit by 0, 356–0 = 356. As 356 is a multiple of 178, 3560 is divisible by 178.
   
• 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 178 are 178, 356, 534, 712, etc.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
   
• Integer: An integer is a whole number that can be positive, negative, or zero.
   
• Verification: Verification involves checking the accuracy of results through another method, such as using division to confirm divisibility.