Divisibility Rule of 695

The divisibility rule for 695 is a method by which we can find out if a number is divisible by 695 or not without using the division method. Check whether 2780 is divisible by 695 with the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 2780, 0 is the last digit. Multiply it by 2. 0 × 2 = 0.
 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 278–0 = 278.
 

Step 3: Since 278 is not a multiple of 695, the number is not divisible by 695. If the result from Step 2 is a multiple of 695, then the number is divisible by 695.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 695.
 

• Know the multiples of 695: Memorize the multiples of 695 (695, 1390, 2085, 2780, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 695, then the number is divisible by 695.
   
• 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 695.
  
  For example, check if 1390 is divisible by 695 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0.
  
  Subtract the remaining digits excluding the last digit by 0, 139–0 = 139.
  
  Since 139 is not a multiple of 695, repeat the process. Since 1390 is a multiple of 695, 1390 is divisible by 695.
   
• 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 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 695 are 695, 1390, 2085, 2780, 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: Verification is the process of confirming the accuracy of a result, often using an alternative method like division to ensure correctness.