101 LearnersLast updated on May 29th, 2025
Factors of 1191
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 1191, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1191?
The numbers that divide 1191 evenly are known as factors of 1191.
A factor of 1191 is a number that divides the number without remainder.
The factors of 1191 are 1, 3, 397, and 1191.
Negative factors of 1191: -1, -3, -397, and -1191.
Prime factors of 1191: 3 and 397.
Prime factorization of 1191: 3 × 397.
The sum of factors of 1191: 1 + 3 + 397 + 1191 = 1592
How to Find Factors of 1191?
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 1191. Identifying the numbers which are multiplied to get the number 1191 is the multiplication method.
Step 1: Multiply 1191 by 1, 1191 × 1 = 1191.
Step 2: Check for other numbers that give 1191 after multiplying
3 × 397 = 1191
Therefore, the positive factor pairs of 1191 are: (1, 1191) and (3, 397).
All these factor pairs result in 1191. 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 a simple division method -
Step 1: Divide 1191 by 1, 1191 ÷ 1 = 1191.
Step 2: Continue dividing 1191 by the numbers until the remainder becomes 0.
1191 ÷ 1 = 1191
1191 ÷ 3 = 397
Therefore, the factors of 1191 are: 1, 3, 397, 1191.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 1191 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1191 ÷ 3 = 397
397 is a prime number.
The prime factors of 1191 are 3 and 397.
The prime factorization of 1191 is: 3 × 397.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1191 is divided by 3 to get 397.
Step 2: 397 is a prime number, so it is not divisible further. So, the prime factorization of 1191 is:
3 × 397.
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 1191: (1, 1191) and (3, 397).
Negative factor pairs of 1191: (-1, -1191) and (-3, -397).
Common Mistakes and How to Avoid Them in Factors of 1191
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 1191, 1 and 1191 is also a factor.
Factors of 1191 Examples
Problem 1
There are 3 teams and 1191 students. How will they divide the students equally?
They will get 397 students each.
Explanation
To divide the students equally, we need to divide the total students with the number of teams.
1191/3 = 397
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1191 square meters. Find the width.
397 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1191 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1191/3 = width
Width = 397.
Problem 3
There are 1191 items and 397 containers. How many items will be in each container?
Each container will have 3 items.
Explanation
To find the items in each container, divide the total items with the containers.
1191/397 = 3
Problem 4
In a library, there are 1191 books, and 3 sections. How many books are there in each section?
There are 397 books in each section.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
1191/3 = 397
Problem 5
1191 documents need to be arranged in 3 cabinets. How many documents will go in each cabinet?
Each of the cabinets has 397 documents.
Explanation
Divide total documents with cabinets.
1191/3 = 397
FAQs on Factors of 1191
1.What are the factors of 1191?
2.Mention the prime factors of 1191.
3.Is 1191 a multiple of 3?
4.Mention the factor pairs of 1191?
5.What is the square of 1191?
Important Glossaries for Factor of 1191
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1191 are 1, 3, 397, and 1191.
- Prime factors: The factors which are prime numbers. For example, 3 and 397 are prime factors of 1191.
- 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 1191 are (1, 1191) and (3, 397).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1191 = 3 × 397.
- Multiple: A number that can be divided by another number without a remainder. For example, 1191 is a multiple of 3.
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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.
