124 LearnersLast updated on May 26th, 2025
Factors of 1332
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.
What are the Factors of 1332?
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
How to Find Factors of 1332?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1332
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 1332, 1 and 1332 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 1332 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1332/1.5 = 888, 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 1332 are prime numbers.
For example, 2, 3, 11, and 37 are the prime factors of 1332, but it has other factors like 4, 6, 12, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1332 as 2² × 3 × 11 × 37 and missing all the key factors.
Factors of 1332 Examples
Problem 1
There are 6 teams and 1332 players. How will they divide the players equally?
They will get 222 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1332/6 = 222
Problem 2
A rectangular garden has a length of 37 meters and a total area of 1332 square meters. Find the width.
36 meters.
Explanation
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.
Problem 3
There are 12 boxes and 1332 items. How many items will be in each box?
Each box will have 111 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1332/12 = 111
Problem 4
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.
Explanation
Dividing the crates by the total sections, we will get the number of crates in each section.
1332/11 = 121
Problem 5
1332 files need to be arranged in 3 cabinets. How many files will go in each cabinet?
Each of the cabinets has 444 files.
Explanation
Divide total files by cabinets.
1332/3 = 444
FAQs on Factors of 1332
1.What are the factors of 1332?
2.Mention the prime factors of 1332.
3.Is 1332 a multiple of 6?
4.Mention the factor pairs of 1332?
5.What is the square of 1332?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1332?
7.What are some fun ways kids in Qatar can practice Factors of 1332 with numbers?
8.What role do numbers and Factors of 1332 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1332 skills?
Important Glossaries for Factors of 1332
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, 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.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 37 are prime factors of 1332.
- 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 1332 are (1, 1332), (2, 666), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1332 is 2² × 3 × 11 × 37.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1332 is a multiple of 6.
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About BrightChamps in Qatar
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.
