100 LearnersLast updated on May 27th, 2025
Factors of 1188
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 1188, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1188?
The numbers that divide 1188 evenly are known as factors of 1188.
A factor of 1188 is a number that divides the number without remainder.
The factors of 1188 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188.
Negative factors of 1188: -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -66, -99, -108, -132, -198, -297, -396, -594, and -1188.
Prime factors of 1188: 2, 3, and 11.
Prime factorization of 1188: 22 × 33 × 11.
The sum of factors of 1188: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 54 + 66 + 99 + 108 + 132 + 198 + 297 + 396 + 594 + 1188 = 3720
How to Find Factors of 1188?
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 1188. Identifying the numbers which are multiplied to get the number 1188 is the multiplication method.
Step 1: Multiply 1188 by 1, 1188 × 1 = 1188.
Step 2: Check for other numbers that give 1188 after multiplying
2 × 594 = 1188
3 × 396 = 1188
4 × 297 = 1188
6 × 198 = 1188
9 × 132 = 1188
12 × 99 = 1188
18 × 66 = 1188
27 × 44 = 1188
33 × 36 = 1188
Therefore, the positive factor pairs of 1188 are: (1, 1188), (2, 594), (3, 396), (4, 297), (6, 198), (9, 132), (12, 99), (18, 66), (27, 44), and (33, 36).
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 simple division method
Step 1: Divide 1188 by 1, 1188 ÷ 1 = 1188.
Step 2: Continue dividing 1188 by the numbers until the remainder becomes 0.
1188 ÷ 1 = 1188
1188 ÷ 2 = 594
1188 ÷ 3 = 396
1188 ÷ 4 = 297
1188 ÷ 6 = 198
1188 ÷ 9 = 132
1188 ÷ 12 = 99
1188 ÷ 18 = 66
1188 ÷ 27 = 44
1188 ÷ 33 = 36
Therefore, the factors of 1188 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 33, 36, 44, 66, 99, 132, 198, 297, 396, 594, 1188.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1188 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1188 ÷ 2 = 594
594 ÷ 2 = 297
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
The prime factors of 1188 are 2, 3, and 11.
The prime factorization of 1188 is: 22 × 33 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1188 is divided by 2 to get 594.
Step 2: Now divide 594 by 2 to get 297.
Step 3: Then divide 297 by 3 to get 99.
Step 4: Divide 99 by 3 to get 33.
Step 5: Divide 33 by 3 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1188 is: 22 × 33 × 11.
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 1188: (1, 1188), (2, 594), (3, 396), (4, 297), (6, 198), (9, 132), (12, 99), (18, 66), (27, 44), (33, 36).
Negative factor pairs of 1188: (-1, -1188), (-2, -594), (-3, -396), (-4, -297), (-6, -198), (-9, -132), (-12, -99), (-18, -66), (-27, -44), (-33, -36).
Common Mistakes and How to Avoid Them in Factors of 1188
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1188, 1 and 1188 are also factors.
Factors of 1188 Examples
Problem 1
There are 18 teams and 1188 points. How will they distribute it equally?
They will get 66 points each.
Explanation
To distribute the points equally, divide the total points by the number of teams.
1188/18 = 66
Problem 2
A conference hall has a total area of 1188 square meters and the length is 33 meters. Find the width?
36 meters.
Explanation
To find the width of the hall, we use the formula, Area = length × width
1188 = 33 × width
To find the value of width, divide 1188 by 33.
Width = 1188/33 = 36
Problem 3
There are 99 packages and 1188 items. How many items will be in each package?
Each package will have 12 items.
Explanation
To find the items in each package, divide the total items by the number of packages.
1188/99 = 12
Problem 4
In a seminar, there are 11 groups and 1188 participants. How many participants are there in each group?
There are 108 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1188/11 = 108
Problem 5
1188 books need to be arranged on 18 shelves. How many books will go on each shelf?
Each of the shelves has 66 books.
Explanation
Divide total books by shelves.
1188/18 = 66
FAQs on Factors of 1188
1.What are the factors of 1188?
2.Mention the prime factors of 1188.
3.Is 1188 a multiple of 9?
4.Mention the factor pairs of 1188?
5.What is the square of 1188?
Important Glossaries for Factors of 1188
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1188 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 33, 36, 44, 66, 99, 132, 198, 297, 396, 594, and 1188.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 1188.
- 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 1188 are (1, 1188), (2, 594), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1188 is 22 × 33 × 11.
- Multiples: Numbers that are obtained by multiplying the original number by an integer. For example, 9 is a multiple of 1188.
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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.
