Divisibility Rule of 711

The divisibility rule for 711 is a method by which we can find out if a number is divisible by 711 or not without using the division method. Check whether 4977 is divisible by 711 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 4977, 7 is the last digit, so multiply it by 2. 7 × 2 = 14.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 497–14 = 483.

Step 3: Check if 483 is divisible by 711 directly or continue applying the divisibility rule. Since 483 is less than 711 and not a multiple, 4977 is not divisible by 711. If the result from step 2 is not a multiple of 711, then the number isn't divisible by 711.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 711.

Know the multiples of 711:

Memorize the multiples of 711 (711, 1422, 2133, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 711, then the number is divisible by 711.

Use 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 711. 
For example: Check if 1422 is divisible by 711 using the divisibility test.
Multiply the last digit by 2, i.e., 2 × 2 = 4.
Subtract the remaining digits excluding the last digit by 4, 142–4 = 138.
Since 138 is not a multiple of 711 and less than 711, the number 1422 is not divisible by 711.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 711 are 711, 1422, 2133, etc.

• Integers: Integers are the 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.

• Verify: The process of checking the correctness of a result, often by using a different method such as division.