Divisibility Rule of 333

The divisibility rule for 333 is a method by which we can find out if a number is divisible by 333 or not without using the division method. Check whether 999 is divisible by 333 with the divisibility rule.  

Step 1: Sum the digits in the number. For 999, the sum of the digits is 9+9+9=27.

Step 2: Check if 27 is divisible by 3. As 27 is a multiple of 3, proceed to the next step.

Step 3: Since the sum of the digits is divisible by 3, check if the original number is divisible by 3. Since 999 is divisible by 3, the number is also divisible by 333 (since 333=3×111).

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 333.

• Know the multiples of 333: Memorize the multiples of 333 (333, 666, 999, ...etc.) to quickly check divisibility. If the sum of the digits is a multiple of 3 and the original number was divisible by 3, then it is divisible by 333.

• Use negative numbers: If the result we get after summing the digits is negative, consider it as positive for checking divisibility.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 333.

• 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: A set of rules used to determine whether a number is divisible by another number without performing division.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 333 are 333, 666, 999, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Sum: The result of adding numbers together.

• Division: A mathematical operation where a number is divided into smaller parts.