Divisibility Rule of 679

The divisibility rule for 679 is a method by which we can determine if a number is divisible by 679 without using the division method. Check whether 2037 is divisible by 679 with the divisibility rule.
 

Step 1: Check if the number is a multiple of 679. If you are familiar with the multiples of 679, you can quickly determine divisibility. In this case, since 2037 is not a multiple of 679, proceed to the next step.
 

Step 2: Multiply the last digit of the number by 2, here in 2037, 7 is the last digit, multiply it by 2. 7 × 2 = 14.
 

Step 3: Subtract the result from Step 2 from the remaining values but do not include the last digit. i.e., 203–14 = 189.
 

Step 4: If the result from step 3 is a multiple of 679, then the number is divisible by 679. Otherwise, it isn't. In this example, 189 is not a multiple of 679, so 2037 is not divisible by 679.
 

Learning the divisibility rule will help you master division. Let’s learn a few tips and tricks for the divisibility rule of 679.
 

• Know the multiples of 679: Memorize the multiples of 679 (679, 1358, 2037, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 679, then the number is divisible by 679.
   
• Use negative numbers: If the result we get after subtraction is negative, we will avoid the symbol and consider it positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Keep repeating the divisibility process until you reach a small number that is divisible by 679. 
  
  For example, check if 4731 is divisible by 679 using the divisibility test. Multiply the last digit by 2, i.e., 1 × 2 = 2.
  
  Subtract the remaining digits excluding the last digit by 2, 473–2 = 471.
  
  Since 471 is not divisible by 679, 4731 is not divisible by 679.
   
• Use the division method to verify: You can use the division method as a way to verify and cross-check your results. This will help you 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: The results obtained by multiplying a number by an integer, e.g., multiples of 679 are 679, 1358, 2037, etc.
   
• Integers: Numbers that include all the whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one number from another.
   
• Verification: The process of confirming the accuracy of calculations, often using a different method.