Divisibility Rule of 671

The divisibility rule for 671 is a method by which we can find out if a number is divisible by 671 or not without using the division method. Check whether 6710 is divisible by 671 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 7, here in 6710, 0 is the last digit, so multiply it by 7. 0 × 7 = 0.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 671–0 = 671.

Step 3: As it is shown that 671 is a multiple of 671, therefore, the number is divisible by 671. If the result from step 2 isn't a multiple of 671, then the number isn't divisible by 671.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 671.

• Know the multiples of 671: Memorize the multiples of 671 (671, 1342, 2013, 2684, 3355…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 671, then the number is divisible by 671.

• 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 671.
  
  For example: Check if 13420 is divisible by 671 using the divisibility test.
  
  Multiply the last digit by 7, i.e., 0 × 7 = 0.
  
  Subtract the remaining digits excluding the last digit by 0, 1342–0 = 1342.
  
  Still, 1342 is a large number, hence we will repeat the process again and multiply the last digit by 7, 2 × 7 = 14.
  
  Now subtracting 14 from the remaining numbers excluding the last digit, 134–14 = 120.
  
  Since 120 is not a multiple of 671, 13420 is not divisible by 671.

• 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 2 if the number ends with even numbers.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 671 are 671, 1342, 2013, 2684, etc.

• 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 confirming that a calculation or result is accurate, such as using division to check the divisibility result.