106 LearnersLast updated on May 26th, 2025
Factors of 1158
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 1158, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1158?
The numbers that divide 1158 evenly are known as factors of 1158. A factor of 1158 is a number that divides the number without remainder. The factors of 1158 are 1, 2, 3, 6, 193, 386, 579, and 1158.
Negative factors of 1158: -1, -2, -3, -6, -193, -386, -579, and -1158.
Prime factors of 1158: 2, 3, 193.
Prime factorization of 1158: 2 × 3 × 193.
The sum of factors of 1158: 1 + 2 + 3 + 6 + 193 + 386 + 579 + 1158 = 2328
How to Find Factors of 1158?
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 1158. Identifying the numbers which are multiplied to get the number 1158 is the multiplication method.
Step 1: Multiply 1158 by 1, 1158 × 1 = 1158.
Step 2: Check for other numbers that give 1158 after multiplying
2 × 579 = 1158
3 × 386 = 1158
6 × 193 = 1158
Therefore, the positive factor pairs of 1158 are: (1, 1158), (2, 579), (3, 386), (6, 193). All these factor pairs result in 1158. 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 the simple division method -
Step 1: Divide 1158 by 1, 1158 ÷ 1 = 1158.
Step 2: Continue dividing 1158 by the numbers until the remainder becomes 0.
1158 ÷ 1 = 1158
1158 ÷ 2 = 579
1158 ÷ 3 = 386
1158 ÷ 6 = 193
Therefore, the factors of 1158 are: 1, 2, 3, 6, 193, 386, 579, 1158.
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 1158 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1158 ÷ 2 = 579
579 ÷ 3 = 193
193 ÷ 193 = 1
The prime factors of 1158 are 2, 3, and 193. The prime factorization of 1158 is: 2 × 3 × 193.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1158 is divided by 2 to get 579.
Step 2: Now divide 579 by 3 to get 193.
Step 3: 193 is a prime number and cannot be divided by any other number except itself. So, the prime factorization of 1158 is: 2 × 3 × 193.
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 1158: (1, 1158), (2, 579), (3, 386), (6, 193).
- Negative factor pairs of 1158: (-1, -1158), (-2, -579), (-3, -386), (-6, -193).
Common Mistakes and How to Avoid Them in Factors of 1158
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 1158, 1 and 1158 are also factors.
Factors of 1158 Examples
Problem 1
There are 6 teams and 1158 points to be distributed equally. How many points will each team get?
Each team will get 193 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1158/6 = 193
Problem 2
A wall is painted in a rectangular shape, the length of the wall is 3 meters and the total area is 1158 square meters. Find the width?
386 meters.
Explanation
To find the width of the wall, we use the formula,
Area = length × width
1158 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1158/3 = width
Width = 386.
Problem 3
There are 579 chairs and 2 sections in a hall. How many chairs will be in each section?
Each section will have 289 chairs.
Explanation
To find the chairs in each section, divide the total chairs by the sections.
579/2 = 289
Problem 4
In a classroom, there are 1158 students, and 3 groups. How many students are there in each group?
There are 386 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1158/3 = 386
Problem 5
1158 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 193 books.
Explanation
Divide total books by shelves. 1
158/6 = 193
FAQs on Factors of 1158
1.What are the factors of 1158?
2.Mention the prime factors of 1158.
3.Is 1158 a multiple of 3?
4.Mention the factor pairs of 1158?
5.What is the square of 1158?
Important Glossaries for Factor of 1158
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1158 are 1, 2, 3, 6, 193, 386, 579, and 1158.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 193 are prime factors of 1158.
- 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 1158 are (1, 1158), (2, 579), etc.
- Prime factorization: Breaking down a number into its smallest prime numbers. For example, the prime factorization of 1158 is 2 × 3 × 193.
- Multiple: A number that can be divided by another number without a remainder. For example, 1158 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.
