133 LearnersLast updated on May 26th, 2025
Divisibility Rule of 344
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 344.
What is the Divisibility Rule of 344?
The divisibility rule for 344 is a method by which we can determine if a number is divisible by 344 without using the division method. Check whether 688 is divisible by 344 using the divisibility rule.
Step 1: Check if the last number is divisible by 4. The last two digits, 88, are divisible by 4.
Step 2: Divide the number by 344. If the quotient is an integer, then the number is divisible by 344.
Step 3: As shown, 688 ÷ 344 = 2, which is an integer, therefore the number is divisible by 344. If the quotient isn't an integer, then the number isn't divisible by 344.
Tips and Tricks for Divisibility Rule of 344
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 344.
Know the multiples of 344:
Memorize the multiples of 344 (344, 688, 1032, 1376, etc.) to quickly check divisibility. If the division results in an integer, then the number is divisible by 344.
Check with smaller divisors:
If a number is divisible by 344, it must be divisible by 4 as well. Check divisibility by 4 first to simplify the process.
Use the process for large numbers:
Students should use the divisibility process until they confirm divisibility by 344. For example, check if 1376 is divisible by 344 using the divisibility test. Check if the last two digits, 76, are divisible by 4. They are, so proceed with the division: 1376 ÷ 344 = 4. As this is an integer, 1376 is divisible by 344.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them confirm their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 344
The divisibility rule of 344 helps us quickly check if a given number is divisible by 344, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by smaller numbers first.
Ensure the number is divisible by 4 as a first check, since 344 is divisible by 4.
Mistake 2
Incorrect division calculations.
Double-check the division to ensure the quotient is an integer.
Mistake 3
Skipping verification with the division method.
Always verify the result using the division method to ensure accuracy.
Mistake 4
Confusing divisibility rules for different numbers.
Practice regularly to avoid confusing the steps or rules with those for other numbers.
Mistake 5
Relying on memory instead of calculation.
Always perform the necessary calculations to confirm divisibility, rather than relying solely on memory.
Divisibility Rule of 344 Examples
Problem 1
Is 688 divisible by 344?
Yes, 688 is divisible by 344.
Explanation
To check divisibility by 344, follow these steps:
1) Divide 688 by 344 to see if the result is an integer.
2) 688 ÷ 344 = 2, which is an integer.
Therefore, 688 is divisible by 344.
Problem 2
Check the divisibility rule of 344 for 1376.
Yes, 1376 is divisible by 344.
Explanation
For checking divisibility by 344:
1) Divide 1376 by 344 to see if the result is an integer.
2) 1376 ÷ 344 = 4, which is an integer.
Thus, 1376 is divisible by 344.
Problem 3
Is 1023 divisible by 344?
No, 1023 is not divisible by 344.
Explanation
To check divisibility by 344:
1) Divide 1023 by 344 to see if the result is an integer.
2) 1023 ÷ 344 ≈ 2.97558, which is not an integer.
Therefore, 1023 is not divisible by 344.
Problem 4
Can 2064 be divisible by 344 following the divisibility rule?
Yes, 2064 is divisible by 344.
Explanation
To check if 2064 is divisible by 344:
1) Divide 2064 by 344 to see if the result is an integer.
2) 2064 ÷ 344 = 6, which is an integer.
Thus, 2064 is divisible by 344.
Problem 5
Check the divisibility rule of 344 for 2752.
Yes, 2752 is divisible by 344.
Explanation
To check divisibility by 344:
1) Divide 2752 by 344 to see if the result is an integer.
2) 2752 ÷ 344 = 8, which is an integer.
Therefore, 2752 is divisible by 344.
FAQs on Divisibility Rule of 344
1.What is the divisibility rule for 344?
2.How can you quickly check if a number is divisible by 344?
3.Is 1032 divisible by 344?
4.What if I get a remainder after division?
5.Does the divisibility rule of 344 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 344?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 344 with numbers?
8.What role do numbers and Divisibility Rule of 344 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 344 skills?
Important Glossaries for Divisibility Rule of 344
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The products obtained by multiplying a number by an integer. For example, multiples of 344 are 344, 688, 1032, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Quotient: The result obtained by dividing one number by another.
- Verification: The process of confirming the accuracy of a result, often by using a different method.
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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.
