108 LearnersLast updated on May 26th, 2025
Factors of 1174
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 1174, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1174?
The numbers that divide 1174 evenly are known as factors of 1174. A factor of 1174 is a number that divides the number without remainder. The factors of 1174 are 1, 2, 587, and 1174.
Negative factors of 1174: -1, -2, -587, and -1174.
Prime factors of 1174: 2 and 587.
Prime factorization of 1174: 2 × 587.
The sum of factors of 1174: 1 + 2 + 587 + 1174 = 1764
How to Find Factors of 1174?
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 1174. Identifying the numbers which are multiplied to get the number 1174 is the multiplication method.
Step 1: Multiply 1174 by 1, 1174 × 1 = 1174.
Step 2: Check for other numbers that give 1174 after multiplying
2 × 587 = 1174
Therefore, the positive factor pairs of 1174 are: (1, 1174) and (2, 587). All these factor pairs result in 1174. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1174 by 1, 1174 ÷ 1 = 1174.
Step 2: Continue dividing 1174 by the numbers until the remainder becomes 0.
1174 ÷ 1 = 1174
1174 ÷ 2 = 587
Therefore, the factors of 1174 are: 1, 2, 587, 1174.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1174 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1174 ÷ 2 = 587
587 is a prime number and cannot be divided further. The prime factors of 1174 are 2 and 587. The prime factorization of 1174 is: 2 × 587.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1174 is divided by 2 to get 587.
Step 2: 587 is a prime number, so it cannot be divided further. So, the prime factorization of 1174 is: 2 × 587.
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 1174: (1, 1174) and (2, 587).
- Negative factor pairs of 1174: (-1, -1174) and (-2, -587).
Common Mistakes and How to Avoid Them in Factors of 1174
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 1174, 1 and 1174 are also factors.
Factors of 1174 Examples
Problem 1
There are 2 teams and 1174 apples. How will they divide it equally?
They will get 587 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
1174/2 = 587
Problem 2
A rectangular plot has a width of 2 meters and a total area of 1174 square meters. Find the length.
587 meters.
Explanation
To find the length of the plot, we use the formula,
Area = length × width
1174 = 2 × length
To find the value of length, we need to shift 2 to the left side.
1174/2 = length
Length = 587.
Problem 3
There are 587 people and 1174 tickets. How many tickets will each person get?
Each person will get 2 tickets.
Explanation
To find the tickets each person gets, divide the total tickets by the number of people.
1174/587 = 2
Problem 4
A company has 1174 employees and 2 departments. How many employees are in each department?
There are 587 employees in each department.
Explanation
Dividing the employees by the total number of departments, we will get the number of employees in each department.
1174/2 = 587
Problem 5
1174 books need to be distributed among 2 libraries. How many books will go to each library?
Each library will have 587 books.
Explanation
Divide the total books by the number of libraries.
1174/2 = 587
FAQs on Factors of 1174
1.What are the factors of 1174?
2.Mention the prime factors of 1174.
3.Is 1174 a multiple of 2?
4.Mention the factor pairs of 1174?
5.What is the square of 1174?
Important Glossaries for Factors of 1174
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1174 are 1, 2, 587, and 1174.
- Prime factors: The factors which are prime numbers. For example, 2 and 587 are prime factors of 1174.
- 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 1174 are (1, 1174) and (2, 587).
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1174 is 2 × 587.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, 2 × 587 = 1174.
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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.
