Divisibility Rule of 694

The divisibility rule for 694 is a method by which we can find out if a number is divisible by 694 or not without using the division method. Check whether 2082 is divisible by 694 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 2082, 2 is the last digit, multiply it by 2. 2 × 2 = 4.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 208–4 = 204.
 
Step 3: As it is shown that 204 is not a multiple of 694, the number is not divisible by 694. If the result from step 2 were a multiple of 694, then the number would be divisible by 694.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 694.
 

• Know the multiples of 694: Memorize the multiples of 694 (694, 1388, 2082, 2776, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 694, then the number is divisible by 694.
   
• 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 694.
  
  For example, check if 5558 is divisible by 694 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, 555–16 = 539.
  
  Since 539 is still a large number, repeat the process: multiply the last digit by 2, 9 × 2 = 18.
  
  Subtract 18 from the remaining numbers excluding the last digit, 53–18 = 35. As 35 is not a multiple of 694, 5558 is not divisible by 694.
   
• 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 694 are 694, 1388, 2082, etc.  
   
• Integers: Integers are 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 whether a calculation or result is accurate, often by using a different method such as division.