Divisibility Rule of 811

The divisibility rule for 811 is a method by which we can find out if a number is divisible by 811 or not without using the division method. Check whether 2433 is divisible by 811 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 2433, 3 is the last digit, multiply it by 2. 3 × 2 = 6

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 243–6 = 237.

Step 3: Continue the process with the result from Step 2 until a smaller number is achieved. Since 237 is not divisible by 811, 2433 is not divisible by 811.
 

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 811.

Know the multiples of 811:

Memorize the multiples of 811 (811, 1622, 2433, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 811, then the number is divisible by 811.

Use negative numbers:

If the result we get after subtraction is negative, we will avoid the symbol and consider it 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 811. For example, check if 3245 is divisible by 811 using the divisibility test. Multiply the last digit by 2, i.e., 5 × 2 = 10. Subtract the remaining digits excluding the last digit by 10, 324–10 = 314. Still, 314 is not divisible by 811, hence 3245 is not divisible by 811.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 811 are 811, 1622, 2433, 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: The process of confirming the accuracy of a result, often using a different method like division.