Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 1332, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1332 evenly are known as factors of 1332.
A factor of 1332 is a number that divides the number without remainder.
The factors of 1332 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 36, 37, 66, 74, 111, 132, 222, 333, 444, 666, and 1332.
Negative factors of 1332: -1, -2, -3, -4, -6, -11, -12, -22, -33, -36, -37, -66, -74, -111, -132, -222, -333, -444, -666, -1332.
Prime factors of 1332: 2, 3, 11, and 37. Prime factorization of 1332: 2² × 3 × 11 × 37.
The sum of factors of 1332: 1 + 2 + 3 + 4 + 6 + 11 + 12 + 22 + 33 + 36 + 37 + 66 + 74 + 111 + 132 + 222 + 333 + 444 + 666 + 1332 = 3519
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 1332. Identifying the numbers which are multiplied to get the number 1332 is the multiplication method.
Step 1: Multiply 1332 by 1, 1332 × 1 = 1332.
Step 2: Check for other numbers that give 1332 after multiplying
2 × 666 = 1332
3 × 444 = 1332
4 × 333 = 1332
6 × 222 = 1332
11 × 121 = 1332
12 × 111 = 1332
22 × 66 = 1332
33 × 44 = 1332
36 × 37 = 1332
Therefore, the positive factor pairs of 1332 are: (1, 1332), (2, 666), (3, 444), (4, 333), (6, 222), (11, 121), (12, 111), (22, 66), (33, 44), (36, 37).
For every positive factor, there is a negative factor.
Dividing the given number with 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 1332 by 1, 1332 ÷ 1 = 1332.
Step 2: Continue dividing 1332 by the numbers until the remainder becomes 0.
1332 ÷ 1 = 1332
1332 ÷ 2 = 666
1332 ÷ 3 = 444
1332 ÷ 4 = 333
1332 ÷ 6 = 222
1332 ÷ 11 = 121
1332 ÷ 12 = 111
1332 ÷ 22 = 66
1332 ÷ 33 = 44
1332 ÷ 36 = 37
Therefore, the factors of 1332 are: 1, 2, 3, 4, 6, 11, 12, 22, 33, 36, 37, 66, 74, 111, 132, 222, 333, 444, 666, and 1332.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1332 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1332 ÷ 2 = 666
666 ÷ 2 = 333
333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 1332 are 2, 3, 11, and 37.
The prime factorization of 1332 is: 2² × 3 × 11 × 37.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1332 is divided by 2 to get 666.
Step 2: Now divide 666 by 2 to get 333.
Step 3: Then divide 333 by 3 to get 111.
Step 4: Divide 111 by 3 to get 37. Here, 37 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1332 is: 2² × 3 × 11 × 37.
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 1332: (1, 1332), (2, 666), (3, 444), (4, 333), (6, 222), (11, 121), (12, 111), (22, 66), (33, 44), (36, 37).
Negative factor pairs of 1332: (-1, -1332), (-2, -666), (-3, -444), (-4, -333), (-6, -222), (-11, -121), (-12, -111), (-22, -66), (-33, -44), (-36, -37).
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 6 teams and 1332 players. How will they divide the players equally?
They will get 222 players each.
To divide the players equally, we need to divide the total players by the number of teams.
1332/6 = 222
A rectangular garden has a length of 37 meters and a total area of 1332 square meters. Find the width.
36 meters.
To find the width of the garden, we use the formula,
Area = length × width
1332 = 37 × width
To find the value of the width, we need to shift 37 to the left side.
1332/37 = width
Width = 36.
There are 12 boxes and 1332 items. How many items will be in each box?
Each box will have 111 items.
To find the items in each box, divide the total items by the number of boxes.
1332/12 = 111
In a warehouse, there are 1332 crates, and 11 sections. How many crates are there in each section?
There are 121 crates in each section.
Dividing the crates by the total sections, we will get the number of crates in each section.
1332/11 = 121
1332 files need to be arranged in 3 cabinets. How many files will go in each cabinet?
Each of the cabinets has 444 files.
Divide total files by cabinets.
1332/3 = 444
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.