Divisibility Rule of 936

The divisibility rule for 936 is a method by which we can find out if a number is divisible by 936 or not without using the division method. Check whether 7488 is divisible by 936 with the divisibility rule.

Step 1: Check if the number is divisible by 8. Take the last three digits of the number, here in 7488, it is 488. Since 488 is divisible by 8, we proceed to the next step.

Step 2: Check if the number is divisible by 9. Sum all the digits of the number, 7+4+8+8=27. Since 27 is divisible by 9, we proceed to the next step.

Step 3: Check if the number is divisible by 13. Remove the last digit, double it, and subtract from the remaining number. Repeat until a small number is obtained. 7−(2×8)=−9. Since −9 is a multiple of 13, the number is divisible by 13.

Therefore, the number 7488 is divisible by 936.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 936.

Know the Multiples of 936:

Memorize the multiples of 936 (936, 1872, 2808, etc.) to quickly check divisibility. If the number matches a multiple of 936, then it is divisible by 936.

Use the Negative Numbers:

If the result we get after subtraction is negative, we will avoid the symbol and consider it as positive while 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 936.  
   For example: Check if 18720 is divisible by 936 using the divisibility test.  
   Check for divisibility by 8: The last three digits 720 are divisible by 8. 
   Check for divisibility by 9: Sum of the digits is 18, which is divisible by 9.
   Check for divisibility by 13: 187−(2×0)=187−0=187, 18−(2×7)=18−14=4, which is not divisible by 13, so repeat the process: 4−(2×4)=-4, which is not correct, indicating a need to repeat or verify steps again.

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 936 are 936, 1872, 2808, 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 from the other.
   
• Sequence: A sequence is an ordered list of numbers following specific rules, such as checking numbers step-by-step in a divisibility process.