Divisibility Rule of 537

The divisibility rule for 537 is a method by which we can find out if a number is divisible by 537 or not without using the division method. Check whether 1074 is divisible by 537 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2. Here in 1074, 4 is the last digit, so multiply it by 2. 4 × 2 = 8. 

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 107–8 = 99.

Step 3: As it is shown that 99 is not a multiple of 537, therefore, the number is not divisible by 537. If the result from step 2 was a multiple of 537, then the number would be divisible by 537.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 537. 

1. Know the multiples of 537:

Memorize the multiples of 537 (537, 1074, 1611, 2148, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 537, then the number is divisible by 537.

2. 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 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 537.
For example: Check if 2685 is divisible by 537 using the divisibility test.

Multiply the last digit by 2, i.e., 5 × 2 = 10.

Subtract the remaining digits excluding the last digit by 10, 268–10 = 258.

258 is still a large number, so we repeat the process: multiply the last digit by 2, 8 × 2 = 16.

Now subtract 16 from the remaining numbers, 25–16 = 9.

Since 9 is not a multiple of 537, 2685 is not divisible by 537.

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 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 537 are 537, 1074, 1611, 2148, etc.

• Integers: Integers are numbers that include all the 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 checking or confirming the accuracy of a calculation or result.