Divisibility Rule of 803

The divisibility rule for 803 is a method by which we can find out if a number is divisible by 803 or not without using the division method. Check whether 1606 is divisible by 803 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 3, here in 1606, 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., 160–18 = 142.

Step 3: As it is shown that 142 is not a multiple of 803, therefore, the number is not divisible by 803. If the result from step 2 is a multiple of 803, then the number is divisible by 803.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 803. 

Know the multiples of 803:

Memorize the multiples of 803 (803, 1606, 2409, 3212, 4015…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 803, then the number is divisible by 803.

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 803. 
For example: Check if 4824 is divisible by 803 using the divisibility test.
Multiply the last digit by 3, i.e., 4 × 3 = 12.
Subtract the remaining digits excluding the last digit by 12, 482–12 = 470.
Still, 470 is a large number, hence we will repeat the process again and multiply the last digit by 3, 0 × 3 = 0.
Now subtracting 0 from the remaining numbers excluding the last digit, 47–0 = 47.
As 47 is not a multiple of 803, 4824 is not divisible by 803.

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 an even number. 

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 803 are 803, 1606, 2409, 3212, 4015, etc.

• Integers: Integers are numbers that include all 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 by using an alternative method such as direct division.