Divisibility Rule of 637

The divisibility rule for 637 is a method by which we can find out if a number is divisible by 637 or not without using the division method. Check whether 1274 is divisible by 637 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1274, 4 is the last digit. Multiply it by 2. 4 × 2 = 8 

Step 2: Subtract the result from Step 1 from the remaining values without including the last digit. i.e., 127–8 = 119.

Step 3: As 119 is not a multiple of 637, the number is not divisible by 637. If the result from Step 2 were a multiple of 637, then the number would be divisible by 637.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 637.

Know the multiples of 637:

Memorize the multiples of 637 (637, 1274, 1911, 2548…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 637, then the number is divisible by 637.

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 637. For example: Check if 7648 is divisible by 637 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, 764–16 = 748. Still, 748 is a large number, hence we will repeat the process again and multiply the last digit by 2, 8 × 2 = 16. Now subtracting 16 from the remaining numbers excluding the last digit, 74–16 = 58. As 58 is not a multiple of 637, 7648 is not divisible by 637.

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 637 are 637, 1274, 1911, 2548, etc.

• Integers: Integers are the 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: The process of confirming the correctness of a result, often by checking with an alternative method, such as using division to verify divisibility.