101 LearnersLast updated on May 26th, 2025
Factors of 1138
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 1138, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1138?
The numbers that divide 1138 evenly are known as factors of 1138.
A factor of 1138 is a number that divides the number without remainder.
The factors of 1138 are 1, 2, 569, and 1138.
Negative factors of 1138: -1, -2, -569, and -1138.
Prime factors of 1138: 2 and 569.
Prime factorization of 1138: 2 × 569.
The sum of factors of 1138: 1 + 2 + 569 + 1138 = 1710
How to Find Factors of 1138?
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 1138. Identifying the numbers which are multiplied to get the number 1138 is the multiplication method.
Step 1: Multiply 1138 by 1, 1138 × 1 = 1138.
Step 2: Check for other numbers that give 1138 after multiplying 2 × 569 = 1138
Therefore, the positive factor pairs of 1138 are: (1, 1138) and (2, 569).
All these factor pairs result in 1138.
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 1138 by 1, 1138 ÷ 1 = 1138.
Step 2: Continue dividing 1138 by the numbers until the remainder becomes 0.
1138 ÷ 1 = 1138
1138 ÷ 2 = 569
Therefore, the factors of 1138 are: 1, 2, 569, and 1138.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1138 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1138 ÷ 2 = 569
569 ÷ 569 = 1
The prime factors of 1138 are 2 and 569.
The prime factorization of 1138 is: 2 × 569.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1138 is divided by 2 to get 569.
Step 2: 569 is already a prime number, so it cannot be divided further.
So, the prime factorization of 1138 is: 2 × 569.
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 1138: (1, 1138) and (2, 569).
Negative factor pairs of 1138: (-1, -1138) and (-2, -569).
Common Mistakes and How to Avoid Them in Factors of 1138
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 1138, 1 and 1138 are also factors.
Factors of 1138 Examples
Problem 1
There are 2 groups and 1138 candies. How will they divide it equally?
They will get 569 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of groups.
1138/2 = 569
Problem 2
A wall is rectangular, the width of the wall is 2 meters and the total area is 1138 square meters. Find the length?
569 meters.
Explanation
To find the length of the wall, we use the formula, Area = length × width 1138 = 2 × length
To find the value of length, we need to shift 2 to the left side.
1138/2 = length
Length = 569.
Problem 3
There are 569 bags and 1138 marbles. How many marbles will be in each bag?
Each bag will have 2 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
1138/569 = 2
Problem 4
In a tournament, there are 1138 participants, and 2 teams. How many participants are there in each team?
There are 569 participants in each team.
Explanation
Dividing the participants with the total teams, we will get the number of participants in each team.
1138/2 = 569
Problem 5
1138 books need to be arranged in 569 shelves. How many books will go on each shelf?
Each shelf has 2 books.
Explanation
Divide total books with shelves.
1138/569 = 2
FAQs on Factors of 1138
1.What are the factors of 1138?
2.Mention the prime factors of 1138.
3.Is 1138 a multiple of 2?
4.Mention the factor pairs of 1138?
5.What is the square of 1138?
Important Glossaries for Factors of 1138
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1138 are 1, 2, 569, and 1138.
- Prime factors: The factors which are prime numbers. For example, 2 and 569 are prime factors of 1138.
- 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 1138 are (1, 1138) and (2, 569).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1138 is 2 × 569.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1138 is a multiple of 2.
Explore More numbers
Previous to Factors of 1138
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.
