Divisibility Rule of 163

The divisibility rule for 163 is a method by which we can find out if a number is divisible by 163 or not without using the division method. Check whether 16300 is divisible by 163 using the divisibility rule.
 

Step 1: Multiply the last digit of the number by 10. Here, in 16300, 0 is the last digit. Multiply it by 10. 0 × 10 = 0
 

Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 1630 - 0 = 1630.
 

Step 3: Since 1630 is a multiple of 163, the number is divisible by 163. If the result from step 2 isn't a multiple of 163, then the number isn't divisible by 163.
 

Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 163.

• Know the multiples of 163: Memorize the multiples of 163 (163, 326, 489, 652, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 163, then the number is divisible by 163.
   
• Use the negative numbers: If the result we get after the subtraction is negative, we will treat it as positive for checking divisibility.
   
• Repeat the process for larger numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 163.
  
  For example, check if 32600 is divisible by 163 using the divisibility test. Multiply the last digit by 10, i.e., 0 × 10 = 0.
  
  Subtract the remaining digits, excluding the last digit, by 0, 3260 - 0 = 3260. Still, 3260 is a large number, hence we will repeat the process again. Multiply the last digit by 10, 0 × 10 = 0.
  
  Now subtract 0 from the remaining numbers excluding the last digit, 326 - 0 = 326. As 326 is a multiple of 163, 32600 is divisible by 163.
   
• 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 verify their answers and also learn.
   

• Divisibility Rule: The set of rules used to determine whether a number is divisible by another number. For example, a number is divisible by 163 if it follows the defined steps for 163.
   
• Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 163 are 163, 326, 489, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
   
• Verification: The process of confirming the accuracy of a result, often by using a secondary method such as division to ensure correctness.