Divisibility Rule of 819

The divisibility rule for 819 is a method by which we can determine if a number is divisible by 819 without using the division method. 

Example: Check whether 8181 is divisible by 819 using the divisibility rule.

Step 1: Multiply the last digit of the number by 9. Here, in 8181, 1 is the last digit. Multiply it by 9. 1 × 9 = 9

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 818-9 = 809.

Step 3: As it is shown that 809 is not a multiple of 819, therefore, the number is not divisible by 819. If the result from step 2 had been a multiple of 819, then the number would be divisible by 819.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 819.

Know the multiples of 819:

Memorize the multiples of 819 (819, 1638, 2457, 3276, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 819, then the number is divisible by 819.

Use the negative numbers:

If the result we get after the subtraction is negative, we will ignore 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 easily identified as divisible by 819. For example, check if 16380 is divisible by 819 using the divisibility test. 

Multiply the last digit by 9, i.e., 0 × 9 = 0. Subtract the remaining digits excluding the last digit by 0, 1638-0 = 1638.

Since 1638 is a multiple of 819, 16380 is divisible by 819.

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 verify and also learn.
 

Divisibility rule: The set of rules used to determine 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 819 are 819, 1638, 2457, 3276, etc.
 

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

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

Verification: Verification is the process of checking calculations or results to ensure they are accurate and correct.