Divisibility Rule of 833

The divisibility rule for 833 is a method by which we can find out if a number is divisible by 833 or not without using the division method. Check whether 83267 is divisible by 833 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 7, here in 83267, 7 is the last digit, multiply it by 7. 7 × 7 = 49.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 8326–49 = 8277.

Step 3: As it is shown that 8277 is not a multiple of 833, therefore, the number is not divisible by 833. If the result from step 2 is a multiple of 833, then the number is divisible by 833.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 833.

Know the multiples of 833:  

Memorize the multiples of 833 (833, 1666, 2499, 3332, 4165…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 833, then the number is divisible by 833.

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 833.  
For example: Check if 249900 is divisible by 833 using the divisibility test.  
Multiply the last digit by 7, i.e., 0 × 7 = 0.  
Subtract the remaining digits excluding the last digit by 0, 24990–0 = 24990.  
Still, 24990 is a large number, hence we will repeat the process again and multiply the last digit by 7, 0 × 7 = 0.  
Now subtracting 0 from the remaining numbers excluding the last digit, 2499–0 = 2499.  
As 2499 is a multiple of 833, 249900 is divisible by 833.

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 833 if it satisfies the specific subtraction rule.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 833 are 833, 1666, 2499, 3332, 4165, 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 calculated result is correct, often by using an alternative method such as direct division.