Divisibility Rule of 234

The divisibility rule for 234 is a method by which we can determine if a number is divisible by 234 or not without using the division method. Check whether 4680 is divisible by 234 using the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 13, since 234 = 2 × 3 × 13.

- For divisibility by 2, the last digit must be even. Here, the last digit of 4680 is 0, which is even.
- For divisibility by 3, the sum of the digits must be divisible by 3. The sum of the digits of 4680 is 4 + 6 + 8 + 0 = 18, which is divisible by 3.
- For divisibility by 13, divide the number by 13 directly or use shortcuts. 4680 divided by 13 gives a whole number (360).

Step 2: Since 4680 is divisible by 2, 3, and 13, it is divisible by 234
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 234.

Know the factors:

Understand that checking divisibility by 234 involves checking divisibility by 2, 3, and 13.

Memorize key multiples:

Knowing multiples of 234 can help quickly verify divisibility.

Simplify large numbers:

Break down the number into smaller components to check for divisibility by factors.

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 verify and also learn.

• Divisibility Rule: The set of rules used to determine whether a number is divisible by another number without direct division.

• Factors: Numbers that are multiplied together to get another number (e.g., factors of 234 are 2, 3, and 13).

• Multiple: A number that can be divided by another number without leaving a remainder.

• Integer: Whole numbers, including positive, negative numbers, and zero.

• Sum: The result of adding numbers together, important for checking divisibility by 3.