Divisibility Rule of 396

The divisibility rule for 396 is a method by which we can find out if a number is divisible by 396 or not without using the division method. Check whether 792 is divisible by 396 with the divisibility rule.

Step 1: A number is divisible by 396 if it is divisible by 4, 9, and 11 because 396 = 4 × 9 × 11.

Step 2: Check divisibility by 4: The last two digits of 792 are 92, which is not divisible by 4.

Since 92 is not divisible by 4, 792 is not divisible by 396.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 396.

• Know the factors: Understand that 396 is the product of 4, 9, and 11. Check divisibility by each of these factors to determine if a number is divisible by 396.
   
• Use the negative numbers: If the result after checking divisibility is negative, treat it as positive for divisibility purposes.
   
• Repeat the process for large numbers: Continue checking divisibility by 4, 9, and 11 until you can clearly determine whether the number is divisible by 396.
  
  For example, check if 2376 is divisible by 396. - Divisibility by 4: The last two digits, 76, are divisible by 4.
  
  - Divisibility by 9: The sum of the digits, 2+3+7+6 = 18, is divisible by 9
  
  - Divisibility by 11: Alternating sum of the digits, (2-3+7-6)=0, which is divisible by 11.Since 2376 is divisible by 4, 9, and 11, it is divisible by 396.
   
• Use the division method to verify: Use the division method to verify and cross-check results. This will help to confirm and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 4 if its last two digits form a number divisible by 4.
   
• Factors: Numbers that are multiplied together to get another number. For example, factors of 396 are 4, 9, and 11.
   
• Multiple: The product we get after multiplying a number by an integer. For example, multiples of 396 include 396, 792, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Verification: The process of checking or confirming that a result or calculation is accurate.