166 LearnersLast updated on May 26th, 2025
Divisibility Rule of 342
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 342.
What is the 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.
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 342
The divisibility rule of 342 helps us quickly check if a given number is divisible by 342, but common mistakes can lead to incorrect calculations. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors (2, 3, and 19).
Ensure you check divisibility by 2, 3, and 19 to confirm divisibility by 342.
Divisibility Rule of 342 Examples
Problem 1
Can 684 be divided evenly by 342?
Yes, 684 is divisible by 342.
Explanation
To check if 684 is divisible by 342, we can perform the following steps:
1) Divide 684 by 342 directly, \( 684 ÷ 342 = 2 \).
2) Since the result is an integer, 684 is divisible by 342.
Problem 2
Is 1026 divisible by 342 without a remainder?
Yes, 1026 is divisible by 342.
Explanation
To determine if 1026 is divisible by 342, we can use direct division:
1) Divide 1026 by 342, \( 1026 ÷ 342 = 3 \).
2) The division results in an integer, confirming 1026 is divisible by 342.
Problem 3
Check if 1368 follows the divisibility rule of 342.
Yes, 1368 is divisible by 342.
Explanation
To check the divisibility of 1368 by 342:
1) Perform the division \( 1368 ÷ 342 = 4 \).
2) The result is an integer, indicating 1368 is divisible by 342.
Problem 4
Determine if 1710 can be divided by 342 evenly.
Yes, 1710 is divisible by 342.
Explanation
Yes, 1710 is divisible by 342.
Explanation: To verify the divisibility of 1710 by 342:
1) Divide 1710 by 342, \( 1710 ÷ 342 = 5 \).
2) Since the quotient is an integer, 1710 is divisible by 342.
Problem 5
Is 2052 divisible by 342 without any remainder?
Yes, 2052 is divisible by 342.
Explanation
To check if 2052 is divisible by 342:
1) Divide 2052 by 342, \( 2052 ÷ 342 = 6 \).
2) The result is an integer, confirming that 2052 is divisible by 342.
FAQs on Divisibility Rule of 342
1.What is the divisibility rule for 342?
2.How many numbers are there between 1 and 1000 that are divisible by 342?
3.Is 1026 divisible by 342?
4.What if I get a non-integer after division?
5.Does the divisibility rule of 342 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 342?
7.What are some fun ways kids in United States can practice Divisibility Rule of 342 with numbers?
8.What role do numbers and Divisibility Rule of 342 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 342 skills?
Important Glossaries for Divisibility Rule of 342
- 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.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
