Divisibility Rule of 29

The divisibility rule for 29 is a method by which we can find out if a number is divisible by 29 or not without using the division method. Check whether 1450 is divisible by 29 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3, here in 1450, 0 is the last digit, multiply it by 3. 0 × 3 = 0  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 145–0 = 145.  

Step 3: As it is shown that 145 is not a multiple of 29, therefore, the number is not divisible by 29. If the result from step 2 is a multiple of 29, then the number is divisible by 29.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 29.  

• Know the multiples of 29:  Memorize the multiples of 29 (29, 58, 87, 116, 145…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 29, then the number is divisible by 29.
   
• Use negative numbers:  If the result we get after 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 29.
   
  For example: Check if 3487 is divisible by 29 using the divisibility test.  Multiply the last digit by 3, i.e., 7 × 3 = 21.  Subtract the result from the remaining digits excluding the last digit, 348–21 = 327.
   
  Still, 327 is a large number, hence we will repeat the process again and multiply the last digit by 3, 7 × 3 = 21.
  
  Now subtract 21 from the remaining numbers excluding the last digit, 32–21 = 11.  As 11 is not a multiple of 29, 3487 is not divisible by 29.  
   
• Use the division method to verify:  Students can use the division method as a way to verify and crosscheck 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 3 if the sum of its digits is divisible by 3.  
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 29 are 29, 58, 87, 116...  
   
• Integers: Integers are the numbers that include all the 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: The process of checking whether a calculation or result is correct, often using a different method or calculation.