Divisibility Rule of 342

The divisibility rule for 342 is a method by which we can find out if a number is divisible by 342 or not without using the division method. To check whether 684 is divisible by 342, follow these steps:

Step 1: Check if the number is divisible by 2, 3, and 19 (since 342 = 2 × 3 × 19). For 684, check if it is divisible by each of these numbers.

Step 2: A number is divisible by 2 if its last digit is even. 684 ends with 4, which is even, so it is divisible by 2.

Step 3: A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 684 is 6 + 8 + 4 = 18, which is divisible by 3.

Step 4: A number is divisible by 19 if, after performing a specific calculation (e.g., double the last digit, add or subtract it from the rest, or check with known multiples), the result is a multiple of 19. We will use direct division to confirm this step: 684 ÷ 19 = 36, which is an integer, so 684 is divisible by 19.

Since 684 is divisible by 2, 3, and 19, it is divisible by 342.

Learning the divisibility rule will help kids master the division. Let’s learn a few tips and tricks for the divisibility rule of 342.

Know the multiples of 342:

Memorize multiples of 342 (342, 684, 1026, etc.) to quickly check divisibility.

Use the divisibility rules of 2, 3, and 19:

Check divisibility by 2, 3, and 19 separately to determine if a number is divisible by 342.

Repeat the process for large numbers:

For larger numbers, break the problem into smaller parts using the divisibility rules for 2, 3, and 19.

Use the division method to verify:

Use division to verify and cross-check results, reinforcing the learning process.

• Divisibility rule: The set of rules used to determine if a number is divisible by another number.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 342 are 342, 684, 1026, etc.

• Factors: Numbers that multiply together to get another number. For example, 2, 3, and 19 are factors of 342.

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

• Even number: A number that is divisible by 2 without a remainder.