Divisibility Rule of 863

The divisibility rule for 863 is a method by which we can find out if a number is divisible by 863 or not without using the division method. Check whether 1726 is divisible by 863 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3, here in 1726, 6 is the last digit, multiply it by 3. 6 × 3 = 18.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 172–18 = 154.

Step 3: As it is shown that 154 is not a multiple of 863, therefore, the number is not divisible by 863. If the result from step 2 is a multiple of 863, then the number is divisible by 863.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 863. 

Know the multiples of 863:

Memorize the multiples of 863 (863, 1726, 2589, 3452…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 863, then the number is divisible by 863.

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 863.

For example: Check if 3452 is divisible by 863 using the divisibility test.

Multiply the last digit by 3, i.e., 2 × 3 = 6.

Subtract the remaining digits excluding the last digit by 6, 345–6 = 339.

Still, 339 is a large number, hence we will repeat the process again and multiply the last digit by 3, 9 × 3 = 27.

Now subtracting 27 from the remaining numbers excluding the last digit, 33–27 = 6.

As 6 is not a multiple of 863, 3452 is not divisible by 863.

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 863 are 863, 1726, 2589, 3452, etc.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Integer: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
   
• Verification: The process of confirming that a result is accurate, often using an alternative method such as direct division.