Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the 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.
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.
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.
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.
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.
The divisibility rule of 537 helps us to quickly check if the given number is divisible by 537, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 2148 divisible by 537?
No, 2148 is not divisible by 537.
To check if 2148 is divisible by 537, we can use a divisibility rule specific to 537. Although there is no straightforward divisibility rule for 537 like there is for smaller numbers, we can perform a quick division to see if the quotient is an integer. Dividing 2148 by 537 gives approximately 3.998, which is not an integer, indicating that 2148 is not divisible by 537.
Check the divisibility of 6444 by 537.
Yes, 6444 is divisible by 537.
To determine if 6444 is divisible by 537, we can simply divide the two numbers. 6444 divided by 537 equals exactly 12, which is an integer. Therefore, 6444 is divisible by 537.
Is -2685 divisible by 537?
No, -2685 is not divisible by 537.
When checking if -2685 is divisible by 537, we remove the negative sign and perform the division. Dividing 2685 by 537 gives approximately 5.0, which is close but not exactly an integer. Therefore, -2685 is not divisible by 537.
Can 1074 be divisible by 537 following the divisibility rule?
Yes, 1074 is divisible by 537.
To check if 1074 is divisible by 537, we perform the division. 1074 divided by 537 equals exactly 2, which is an integer. Therefore, 1074 is divisible by 537.
Check the divisibility of 3222 by 537.
No, 3222 is not divisible by 537.
To determine if 3222 is divisible by 537, we divide the two numbers. 3222 divided by 537 equals approximately 6.0, which is not an integer. Thus, 3222 is not divisible by 537.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.