Divisibility Rule of 307

The divisibility rule for 307 is a method by which we can determine if a number is divisible by 307 or not without using the division method. Check whether 921 is divisible by 307 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 921, 1 is the last digit, so multiply it by 2. 1 × 2 = 2.

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 92 - 2 = 90.

Step 3: As 90 is not a multiple of 307, the number is not divisible by 307. If the result from step 2 is a multiple of 307, then the number is divisible by 307.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 307.

Know the multiples of 307:

Memorize the multiples of 307 (307, 614, 921, 1228, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 307, then the number is divisible by 307.

Use the 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 307. For example: Check if 1842 is divisible by 307 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, 184 - 4 = 180.

Still, 180 is a large number, hence we will repeat the process again and multiply the last digit by 2, 0 × 2 = 0. 

Now subtracting 0 from the remaining numbers excluding the last digit, 18 - 0 = 18.

As 18 is not a multiple of 307, 1842 is not divisible by 307.

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 we get after multiplying a number by an integer. For example, multiples of 307 are 307, 614, 921, etc.

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

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

• Verification: A process of confirming the validity of a method or result, often used to ensure that a divisibility test has been performed correctly.