120 LearnersLast updated on May 26th, 2025
Factors of 344
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 344, how they are used in real life, and tips to learn them quickly.
What are the Factors of 344?
The numbers that divide 344 evenly are known as factors of 344. A factor of 344 is a number that divides the number without remainder.
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, and 344.
Negative factors of 344: -1, -2, -4, -8, -43, -86, -172, and -344.
Prime factors of 344: 2 and 43.
Prime factorization of 344: 2³ × 43.
The sum of factors of 344: 1 + 2 + 4 + 8 + 43 + 86 + 172 + 344 = 660
How to Find Factors of 344?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 344. Identifying the numbers which are multiplied to get the number 344 is the multiplication method.
Step 1: Multiply 344 by 1, 344 × 1 = 344.
Step 2: Check for other numbers that give 344 after multiplying
2 × 172 = 344
4 × 86 = 344
8 × 43 = 344
Therefore, the positive factor pairs of 344 are: (1, 344), (2, 172), (4, 86), and (8, 43).
All these factor pairs result in 344. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 344 by 1, 344 ÷ 1 = 344.
Step 2: Continue dividing 344 by the numbers until the remainder becomes 0.
344 ÷ 1 = 344
344 ÷ 2 = 172
344 ÷ 4 = 86
344 ÷ 8 = 43
Therefore, the factors of 344 are: 1, 2, 4, 8, 43, 86, 172, 344.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 344 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
344 ÷ 2 = 172
172 ÷ 2 = 86
86 ÷ 2 = 43
43 ÷ 43 = 1
The prime factors of 344 are 2 and 43.
The prime factorization of 344 is: 2³ × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 344 is divided by 2 to get 172.
Step 2: Now divide 172 by 2 to get 86.
Step 3: Then divide 86 by 2 to get 43. Here, 43 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 344 is: 2³ × 43.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 344: (1, 344), (2, 172), (4, 86), and (8, 43).
Negative factor pairs of 344: (-1, -344), (-2, -172), (-4, -86), and (-8, -43).
Common Mistakes and How to Avoid Them in Factors of 344
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 344, 1 and 344 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 344 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 344/1.5 = 229.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 344 are prime numbers.
For example, 2 and 43 are the prime factors of 344, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 344 as 2³ × 43 and missing all the key factors.
Factors of 344 Examples
Problem 1
There are 8 students and 344 pages of reading material. How will they divide it equally?
They will get 43 pages each.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
344/8 = 43
Problem 2
A rectangular garden has a length of 43 meters and a total area of 344 square meters. Find the width.
8 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
344 = 43 × width
To find the value of width, we need to shift 43 to the left side.
344/43 = width
width = 8.
Problem 3
There are 86 packets of seeds and 344 seeds. How many seeds will be in each packet?
Each packet will have 4 seeds.
Explanation
To find the seeds in each packet, divide the total seeds by the number of packets.
344/86 = 4
Problem 4
In a class, there are 172 chairs, and 2 sections. How many chairs are there in each section?
There are 86 chairs in each section.
Explanation
Dividing the chairs by the total sections, we will get the number of chairs in each section.
172/2 = 86
Problem 5
344 apples need to be distributed in 43 baskets. How many apples will go in each basket?
Each basket will have 8 apples.
Explanation
Divide total apples by baskets.
344/43 = 8
FAQs on Factors of 344
1.What are the factors of 344?
2.Mention the prime factors of 344.
3.Is 344 a multiple of 8?
4.Mention the factor pairs of 344?
5.What is the square of 344?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 344?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 344 with numbers?
8.What role do numbers and Factors of 344 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 344 skills?
Important Glossaries for Factors of 344
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 344 are 1, 2, 4, 8, 43, 86, 172, and 344.
- Prime factors: The factors which are prime numbers. For example, 2 and 43 are prime factors of 344.
- Factorization: The process of breaking down a number into its prime factors. For example, the factorization of 344 is 2³ × 43.
- Multiple: A number that can be divided by another number without a remainder. For example, 344 is a multiple of 8.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 344 are (1, 344), (2, 172), etc.
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About BrightChamps in Saudi Arabia
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.
