106 LearnersLast updated on May 26th, 2025
Factors of 1154
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 1154, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1154?
The numbers that divide 1154 evenly are known as factors of 1154. A factor of 1154 is a number that divides the number without a remainder. The factors of 1154 are 1, 2, 577, and 1154.
Negative factors of 1154: -1, -2, -577, and -1154.
Prime factors of 1154: 2 and 577.
Prime factorization of 1154: 2 × 577.
The sum of factors of 1154: 1 + 2 + 577 + 1154 = 1734
How to Find Factors of 1154?
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 1154. Identifying the numbers which are multiplied to get the number 1154 is the multiplication method.
Step 1: Multiply 1154 by 1, 1154 × 1 = 1154.
Step 2: Check for other numbers that give 1154 after multiplying: 2 × 577 = 1154
Therefore, the positive factor pairs of 1154 are: (1, 1154) and (2, 577). 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 number as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1154 by 1, 1154 ÷ 1 = 1154.
Step 2: Continue dividing 1154 by the numbers until the remainder becomes 0.
1154 ÷ 1 = 1154
1154 ÷ 2 = 577
Therefore, the factors of 1154 are: 1, 2, 577, and 1154.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1154 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1154 ÷ 2 = 577
577 ÷ 577 = 1
The prime factors of 1154 are 2 and 577. The prime factorization of 1154 is: 2 × 577.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1154 is divided by 2 to get 577. Here, 577 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1154 is: 2 × 577.
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 1154: (1, 1154) and (2, 577).
- Negative factor pairs of 1154: (-1, -1154) and (-2, -577).
Common Mistakes and How to Avoid Them in Factors of 1154
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 1154, 1 and 1154 are also factors.
Factors of 1154 Examples
Problem 1
A company has 1154 employees and 2 departments. How will they divide the employees equally between the departments?
Each department will have 577 employees.
Explanation
To divide the employees equally, we need to divide the total employees by the number of departments.
1154/2 = 577
Problem 2
A rectangular garden's length is 577 meters, and the total area is 1154 square meters. Find the width?
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1154 = 577 × width
To find the value of width, we need to shift 577 to the left side.
1154/577 = width
Width = 2.
Problem 3
There are 1,154 people attending a concert, and each row can seat 2 people. How many rows are needed?
577 rows are needed.
Explanation
To find the number of rows needed, divide the total number of people by the number of seats per row.
1154/2 = 577
Problem 4
A library has 1154 books and 2 sections. How many books will be in each section?
Each section will have 577 books.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
1154/2 = 577
Problem 5
A stadium has 1,154 seats and 1 row. How many seats are in the row?
There are 1154 seats in the row.
Explanation
Since there is only 1 row, the number of seats in the row is equal to the total number of seats.
1154/1 = 1154
FAQs on Factors of 1154
1.What are the factors of 1154?
2.Mention the prime factors of 1154.
3.Is 1154 a multiple of 2?
4.Mention the factor pairs of 1154?
5.What is the square of 1154?
Important Glossaries for Factor of 1154
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1154 are 1, 2, 577, and 1154.
- Prime factors: The factors which are prime numbers. For example, 2 and 577 are prime factors of 1154.
- 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 1154 are (1, 1154) and (2, 577).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1154 is 2 × 577.
- Multiple: A number that can be divided by another number without a remainder. For example, 1154 is a multiple of 2.
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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.
