Divisibility Rule of 247

The divisibility rule for 247 is a method by which we can find out if a number is divisible by 247 or not without using the division method. Check whether 494 is divisible by 247 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 494, 4 is the last digit, so multiply it by 2. 4 × 2 = 8.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 49 - 8 = 41.

Step 3: As it is shown that 41 is not a multiple of 247, therefore, the number is not divisible by 247. If the result from Step 2 were a multiple of 247, then the number would be divisible by 247.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 247. 

1. Know the multiples of 247:

Memorize the multiples of 247 (247, 494, 741, 988, etc.) to quickly check for divisibility. If the result from the subtraction is a multiple of 247, then the number is divisible by 247.

2. 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.

3. Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 247. For example: Check if 988 is divisible by 247 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 98 - 16 = 82. Since 82 is not a multiple of 247, 988 is not divisible by 247.

4. 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 determine whether a number is divisible by another number or not.

• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 247 are 247, 494, 741, etc.

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

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

• Verification: The process of using additional methods, such as division, to confirm the results obtained from the divisibility rule.