110 LearnersLast updated on May 26th, 2025
Factors of 1161
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 1161, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1161?
The numbers that divide 1161 evenly are known as factors of 1161. A factor of 1161 is a number that divides the number without remainder. The factors of 1161 are 1, 3, 387, and 1161.
Negative factors of 1161: -1, -3, -387, and -1161.
Prime factors of 1161: 3 and 387.
Prime factorization of 1161: 3 × 387.
The sum of factors of 1161: 1 + 3 + 387 + 1161 = 1552
How to Find Factors of 1161?
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 1161. Identifying the numbers which are multiplied to get the number 1161 is the multiplication method.
Step 1: Multiply 1161 by 1, 1161 × 1 = 1161.
Step 2: Check for other numbers that give 1161 after multiplying 3 × 387 = 1161
Therefore, the positive factor pairs of 1161 are: (1, 1161), (3, 387). 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 a whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 1161 by 1, 1161 ÷ 1 = 1161.
Step 2: Continue dividing 1161 by the numbers until the remainder becomes 0.
1161 ÷ 1 = 1161 1161 ÷ 3 = 387
Therefore, the factors of 1161 are: 1, 3, 387, 1161.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1161 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1161 ÷ 3 = 387
387 ÷ 3 = 129
129 ÷ 3 = 43
43 ÷ 43 = 1
The prime factors of 1161 are 3 and 43. The prime factorization of 1161 is: 3 × 3 × 3 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1161 is divided by 3 to get 387.
Step 2: Now divide 387 by 3 to get 129.
Step 3: Then divide 129 by 3 to get 43. Here, 43 is a prime number that cannot be divided further. So, the prime factorization of 1161 is: 3 × 3 × 3 × 43.
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 1161: (1, 1161), (3, 387).
- Negative factor pairs of 1161: (-1, -1161), (-3, -387).
Common Mistakes and How to Avoid Them in Factors of 1161
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 1161, 1 and 1161 are also factors.
Factors of 1161 Examples
Problem 1
There are 9 friends and 1161 candies. How will they divide it equally?
They will get 129 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1161/9 = 129
Problem 2
A rectangular garden has a width of 43 meters and the total area is 1161 square meters. Find the length?
27 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1161 = length × 43
To find the value of length, we need to shift 43 to the left side.
1161/43 = length
Length = 27.
Problem 3
There are 387 marbles and 3 containers. How many marbles will be in each container?
Each container will have 129 marbles.
Explanation
To find the marbles in each container, divide the total marbles with the containers.
387/3 = 129
Problem 4
In a class, there are 1161 students, and 3 groups. How many students are there in each group?
There are 387 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1161/3 = 387
Problem 5
1161 books need to be arranged in 43 shelves. How many books will go on each shelf?
Each of the shelves has 27 books.
Explanation
Divide total books with shelves.
1161/43 = 27
FAQs on Factors of 1161
1.What are the factors of 1161?
2.Mention the prime factors of 1161.
3.Is 1161 a multiple of 3?
4.Mention the factor pairs of 1161?
5.What is the square of 1161?
Important Glossaries for Factor of 1161
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1161 are 1, 3, 387, and 1161.
- Prime factors: The factors which are prime numbers. For example, 3 and 43 are prime factors of 1161.
- 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 1161 are (1, 1161) and (3, 387).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1161 is 3 × 3 × 3 × 43.
- Multiplication method: A technique to find factors by identifying pairs of numbers multiplied to give the original number. For example, using 3 and 387 to get 1161.
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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.
