Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 8 students and 344 pages of reading material. How will they divide it equally?
They will get 43 pages each.
To divide the pages equally, we need to divide the total pages by the number of students.
344/8 = 43
A rectangular garden has a length of 43 meters and a total area of 344 square meters. Find the width.
8 meters.
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.
There are 86 packets of seeds and 344 seeds. How many seeds will be in each packet?
Each packet will have 4 seeds.
To find the seeds in each packet, divide the total seeds by the number of packets.
344/86 = 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.
Dividing the chairs by the total sections, we will get the number of chairs in each section.
172/2 = 86
344 apples need to be distributed in 43 baskets. How many apples will go in each basket?
Each basket will have 8 apples.
Divide total apples by baskets.
344/43 = 8
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.
: She loves to read number jokes and games.