Divisibility Rule of 487

The divisibility rule for 487 is a method by which we can find out if a number is divisible by 487 or not without using the division method. Check whether 9734 is divisible by 487 using the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 9734, 4 is the last digit. Multiply it by 2: 4 × 2 = 8.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 973–8 = 965.
 

Step 3: Since 965 is not a multiple of 487, the number is not divisible by 487. If the result from step 2 were a multiple of 487, then the number would be divisible by 487.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 487.
 

• Know the multiples of 487: Memorize the multiples of 487 (487, 974, 1461, 1948…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 487, then the number is divisible by 487.
   
• Use 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 487.
  
  For example, check if 1948 is divisible by 487 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16.
  
  Subtract the remaining digits excluding the last digit by 16, 194–16 = 178. Since 178 is not a multiple of 487, repeat the process again if necessary.
   
• 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: A 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 an even digit.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 487 are 487, 974, 1461,...
   
• Integers: Integers are 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 alternate method such as direct division to cross-check the results of a divisibility rule.