Divisibility Rule of 797

The divisibility rule for 797 is a method by which we can find out if a number is divisible by 797 or not without using the division method. Let's check whether 7970 is divisible by 797 using the divisibility rule.

Step 1: Multiply the last digit of the number by 2. In 7970, 0 is the last digit, so multiply it by 2. 0 × 2 = 0

Step 2: Subtract the result from Step 1 from the remaining value, excluding the last digit. i.e., 797 - 0 = 797.

Step 3: Since 797 is a multiple of 797, the number 7970 is divisible by 797. If the result from step 2 isn't a multiple of 797, then the number isn't divisible by 797.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 797.

Know the multiples of 797:

Memorize the multiples of 797 (797, 1594, 2391, 3188, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 797, then the number is divisible by 797.

Use the negative numbers:

If the result we get after subtraction is negative, we will avoid 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 797. 

For example: Check if 79700 is divisible by 797 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 7970 - 0 = 7970. Since 7970 is still large, repeat the process: 

0 × 2 = 0; 797 - 0 = 797. As 797 is a multiple of 797, 79700 is divisible by 797.

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. For example, a number is divisible by a divisor if it follows a specific rule.

• Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 797 are 797, 1594, 2391, 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 confirming that a result obtained through a method is correct, often by using another method such as direct division.