Divisibility Rule of 477

The divisibility rule for 477 is a method by which we can find out if a number is divisible by 477 or not without using the division method.

Check whether 954 is divisible by 477 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3. Here in 954, 4 is the last digit, so multiply it by 3. 4 × 3 = 12.  

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 95 - 12 = 83.  

Step 3: Repeat the process: Multiply the last digit of 83 by 3, which gives 3 × 3 = 9. Subtract it from the remaining number, 8 - 9 = -1.

Since -1 is not a multiple of 477, 954 is not divisible by 477.

Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 477.

• Know the multiples of 477: Memorize the multiples of 477 (477, 954, 1431, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 477, then the number is divisible by 477.

• Use the negative numbers: If the result we get after the subtraction is negative, we will ignore 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 477.  
  
  For example, check if 2862 is divisible by 477 using the divisibility test.  
  
  Multiply the last digit by 3, i.e., 2 × 3 = 6.
  
  Subtract from the remaining digits excluding the last digit, 286 - 6 = 280.  

• Repeat the process: Multiply the last digit of 280 by 3, which is 0 × 3 = 0. Subtract from the remaining number, 28 - 0 = 28.
  
  As 28 is not a multiple of 477, 2862 is not divisible by 477.

• 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 determine whether a number is divisible by another number or not. 

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 477 are 477, 954, 1431, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: The process of finding the difference between two numbers by reducing one number from another.

• Verify: To confirm or check the accuracy of a calculation or result.