Divisibility Rule of 489

The divisibility rule for 489 is a method by which we can determine if a number is divisible by 489 without using traditional division. Let’s check whether 1467 is divisible by 489 using this rule.
 

Step 1: Multiply the last digit of the number by 2; here in 1467, 7 is the last digit. Multiply it by 2. 7 × 2 = 14
 

Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 146 – 14 = 132.
 

Step 3: As 132 is not a multiple of 489, we need to verify using division to confirm the number is not divisible by 489.
 

Learning the divisibility rule will help kids master division. Let’s explore a few tips and tricks for the divisibility rule of 489.
 

• Know the multiples of 489: Memorize the multiples of 489 (489, 978, 1467, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 489, then the number is divisible by 489.
   
• Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the negative sign 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 489.  
  
  For example, check if 1956 is divisible by 489 using the divisibility test.  
  
  Multiply the last digit by 2, i.e., 6 × 2 = 12  
  
  Subtract 12 from the remaining digits, excluding the last digit: 195 – 12 = 183  
  
  Since 183 is larger than 489, we repeat the process. Multiply the last digit by 2, 3 × 2 = 6.  
  
  Subtract 6 from the remaining numbers, excluding the last digit: 18 – 6 = 12.  
  
  Since 12 is not a multiple of 489, 1956 is not divisible by 489.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps in verification and learning.
   

• Divisibility rule: The set of rules used to determine 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 489 are 489, 978, 1467, etc.
   
• Integers: Integers are numbers that 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 the accuracy of a result, often using an alternative method such as division, to ensure correctness.