Divisibility Rule of 471

The divisibility rule for 471 is a method by which we can determine if a number is divisible by 471 or not without using the division method. Check whether 1413 is divisible by 471 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 1413, 3 is the last digit, so multiply it by 2. 3 × 2 = 6.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 141–6 = 135.

Step 3: As it is shown that 135 is not a multiple of 471, therefore, the number is not divisible by 471. If the result from step 2 were a multiple of 471, then the number would be divisible by 471.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 471.

• Know the multiples of 471: Memorize the multiples of 471 (471, 942, 1413…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 471, then the number is divisible by 471.

• 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 471.
  
  For example, check if 2826 is divisible by 471 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 282–12 = 270. Since 270 is not a multiple of 471, 2826 is not divisible by 471.

• 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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 471 are 471, 942, 1413, etc.

• 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: The process of using an alternative method, like division, to ensure the accuracy of results obtained from a divisibility rule.