Divisibility Rule of 173

The divisibility rule for 173 is a method by which we can find out if a number is divisible by 173 or not without using the division method. Check whether 20779 is divisible by 173 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 173, here in 20779, 9 is the last digit, multiply it by 173. 9 × 173 = 1557.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 2077 - 1557 = 520.
 

Step 3: As it is shown that 520 is not divisible by 173, therefore, the number is not divisible by 173. If the result from step 2 is a multiple of 173, then the number is divisible by 173.

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 173.
 

• Know the multiples of 173: Memorize the multiples of 173 (173, 346, 519, 692...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 173, then the number is divisible by 173.
   
• 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 173.
  
  For example: Check if 91846 is divisible by 173 using the divisibility test. Multiply the last digit by 173, i.e., 6 × 173 = 1038.
  
  Subtract the remaining digits excluding the last digit by 1038, 9184 - 1038 = 8146.Still, 8146 is a large number, hence we will repeat the process again and multiply the last digit by 173, 6 × 173 = 1038.
  
  Now subtracting 1038 from the remaining numbers excluding the last digit, 814 - 1038 = -224. Since 224 is not a multiple of 173, 91846 is not divisible by 173.
   
• 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. For example, multiples of 173 are 173, 346, 519, 692...
   
• Integers: Integers are the numbers that include all 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: Verification is the process of confirming the accuracy of a result, often by using an alternative method such as division to check the outcome of a divisibility test.