Divisibility Rule of 96

The divisibility rule for 96 is a method by which we can find out if a number is divisible by 96 without using the division method. To check whether a number is divisible by 96, it should be divisible by both 3 and 32, as 96 is the product of these two numbers:
 

1. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

2. Divisibility by 32: A number is divisible by 32 if the last five digits form a number that is divisible by 32.
 

Example: Check whether 3840 is divisible by 96 using the divisibility rule.
 

Step 1: Check divisibility by 3. The sum of the digits of 3840 is 3+8+4+0=15, which is divisible by 3.

Step 2: Check divisibility by 32. The last five digits of 3840 are 03840, which is divisible by 32 (since 384÷32=12).

Since 3840 is divisible by both 3 and 32, it is also divisible by 96.
 

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 96.
 

• Know the multiples of 96: Memorize the multiples of 96 (96,192,288,384,480,576,672,768,864,960) to quickly check the divisibility.
   
• Use small checks: If the number is large, first check the divisibility by 3 and 32 separately, then combine the results.
   
• Use the division method to verify: Use the division method as a way to verify and cross-check results. This will help verify and also learn.
   

• Divisibility Rule: A set of rules used to determine if one number is divisible by another without performing division.
   
• Multiple: A number that can be divided by another number without a remainder. For example, multiples of 96 include 96, 192, 288, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Sum of Digits: The result of adding all the digits in a number.
   
• Last Five Digits: The last five digits of a number, used to test divisibility by 32.