Divisibility Rule of 793

The divisibility rule for 793 is a method by which we can find out if a number is divisible by 793 or not without using the division method. Check whether 1586 is divisible by 793 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 4, here in 1586, 6 is the last digit multiply it by 4. 6 × 4 = 24 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 158–24 = 134.

Step 3: As it is shown that 134 is not a multiple of 793, therefore, the number is not divisible by 793. If the result from step 2 is a multiple of 793, then the number is divisible by 793.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 793.

Know the multiples of 793:

Memorize the multiples of 793 (793, 1586, 2379, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 793, then the number is divisible by 793.

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 793. 
For example: Check if 4758 is divisible by 793 using the divisibility test. 
Multiply the last digit by 4, i.e., 8 × 4 = 32.
Subtract the result from the remaining digits excluding the last digit, 475–32 = 443.
Still, 443 is a large number in this context, hence we will repeat the process again: multiply the last digit by 4, 3 × 4 = 12. 
Now subtracting 12 from the remaining numbers excluding the last digit, 44–12 = 32.
As 32 is not a multiple of 793, 4758 is not divisible by 793.

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 it ends with an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 793 are 793, 1586, 2379, etc.

• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.

• Verification: The process of checking or proving the correctness of something, such as using division to confirm whether a number is divisible by another.