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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1344, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1344 evenly are known as factors of 1344.
A factor of 1344 is a number that divides the number without remainder.
The factors of 1344 include 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 192, 224, 336, 448, 672, and 1344.
Negative factors of 1344: -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -32, -42, -48, -56, -84, -96, -112, -168, -192, -224, -336, -448, -672, and -1344.
Prime factors of 1344: 2 and 3, and 7.
Prime factorization of 1344: 26 × 3 × 7.
The sum of factors of 1344: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 32 + 42 + 48 + 56 + 84 + 96 + 112 + 168 + 192 + 224 + 336 + 448 + 672 + 1344 = 4032
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 1344. Identifying the numbers which are multiplied to get the number 1344 is the multiplication method.
Step 1: Multiply 1344 by 1, 1344 × 1 = 1344.
Step 2: Check for other numbers that give 1344 after multiplying
2 × 672 = 1344
3 × 448 = 1344
4 × 336 = 1344
6 × 224 = 1344
7 × 192 = 1344
8 × 168 = 1344
12 × 112 = 1344
14 × 96 = 1344
16 × 84 = 1344
21 × 64 = 1344
24 × 56 = 1344
28 × 48 = 1344
32 × 42 = 1344
Therefore, the positive factor pairs of 1344 are: (1, 1344), (2, 672), (3, 448), (4, 336), (6, 224), (7, 192), (8, 168), (12, 112), (14, 96), (16, 84), (21, 64), (24, 56), (28, 48), (32, 42).
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 1344 by 1, 1344 ÷ 1 = 1344.
Step 2: Continue dividing 1344 by the numbers until the remainder becomes 0.
1344 ÷ 1 = 1344
1344 ÷ 2 = 672
1344 ÷ 3 = 448
1344 ÷ 4 = 336
1344 ÷ 6 = 224
1344 ÷ 7 = 192
1344 ÷ 8 = 168
1344 ÷ 12 = 112
1344 ÷ 14 = 96
1344 ÷ 16 = 84
1344 ÷ 21 = 64
1344 ÷ 24 = 56
1344 ÷ 28 = 48
1344 ÷ 32 = 42
Therefore, the factors of 1344 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
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 1344 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1344 ÷ 2 = 672
672 ÷ 2 = 336
336 ÷ 2 = 168
168 ÷ 2 = 84
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
The prime factors of 1344 are 2, 3, and 7.
The prime factorization of 1344 is: 2^6 × 3 × 7.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1344 is divided by 2 to get 672.
Step 2: Now divide 672 by 2 to get 336.
Step 3: Then divide 336 by 2 to get 168.
Step 4: Divide 168 by 2 to get 84.
Step 5: Divide 84 by 2 to get 42.
Step 6: Divide 42 by 2 to get 21.
Step 7: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1344 is: 26 × 3 × 7.
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 1344: (1, 1344), (2, 672), (3, 448), (4, 336), (6, 224), (7, 192), (8, 168), (12, 112), (14, 96), (16, 84), (21, 64), (24, 56), (28, 48), (32, 42).
Negative factor pairs of 1344: (-1, -1344), (-2, -672), (-3, -448), (-4, -336), (-6, -224), (-7, -192), (-8, -168), (-12, -112), (-14, -96), (-16, -84), (-21, -64), (-24, -56), (-28, -48), (-32, -42).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A school has 1344 chairs to arrange in rows. Each row should have 28 chairs. How many rows will be formed?
48 rows.
To find the number of rows, divide the total chairs by the chairs per row.
1344/28 = 48
A garden is rectangular, the length of the garden is 112 meters and the total area is 1344 square meters. Find the width.
12 meters.
To find the width of the garden, we use the formula,
Area = length × width
1344 = 112 × width
To find the value of width, we need to shift 112 to the left side.
1344/112 = width
Width = 12.
There are 168 boxes and 1344 apples. How many apples will be in each box?
Each box will have 8 apples.
To find the apples in each box, divide the total apples by the number of boxes.
1344/168 = 8
In a hall, there are 1344 seats and 96 groups. How many seats are there in each group?
There are 14 seats in each group.
Dividing the seats by the total groups, we will get the number of seats in each group.
1344/96 = 14
1344 books need to be arranged in 56 shelves. How many books will go on each shelf?
Each of the shelves has 24 books.
Divide total books by shelves.
1344/56 = 24
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.