Divisibility Rule of 717

Step 1: Multiply the last digit of the number by 2. Here in 7170, 0 is the last digit, so multiply it by 2. 0 × 2 = 0.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 717–0 = 717.

Step 3: As 717 is a multiple of 717, the number is divisible by 717. If the result from step 2 isn't a multiple of 717, then the number isn't divisible by 717.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 717.

Know the multiples of 717:

Memorize the multiples of 717 (717, 1434, 2151, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 717, then the number is divisible by 717.

Use negative numbers:

If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking divisibility.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 717.
For example, check if 14343 is divisible by 717 using the divisibility test. Multiply the last digit by 2, i.e., 3 × 2 = 6. Subtract the remaining digits excluding the last digit by 6, 1434–6 = 1428. Repeat the process: 8 × 2 = 16, 142–16 = 126. As 126 is not a multiple of 717, 14343 is not divisible by 717.

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: A set of rules used to find out whether a number is divisible by another number or not.

• Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 717 are 717, 1434, 2151, 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.

• Verify: To confirm the accuracy of a result by using another method, such as the division method.