101 LearnersLast updated on May 26th, 2025
Factors of 1123
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 1123, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1123?
The numbers that divide 1123 evenly are known as factors of 1123.
A factor of 1123 is a number that divides the number without remainder.
The factors of 1123 are 1, 11, 102, and 1123.
Negative factors of 1123: -1, -11, -102, and -1123.
Prime factors of 1123: 11 and 102.
Prime factorization of 1123: 11 × 102.
The sum of factors of 1123: 1 + 11 + 102 + 1123 = 1237
How to Find Factors of 1123?
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 1123. Identifying the numbers which are multiplied to get the number 1123 is the multiplication method.
Step 1: Multiply 1123 by 1, 1123 × 1 = 1123.
Step 2: Check for other numbers that give 1123 after multiplying 11 × 102 = 1123
Therefore, the positive factor pairs of 1123 are: (1, 1123) and (11, 102).
All these factor pairs result in 1123.
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 1123 by 1, 1123 ÷ 1 = 1123.
Step 2: Continue dividing 1123 by the numbers until the remainder becomes 0.
1123 ÷ 1 = 1123
1123 ÷ 11 = 102
1123 ÷ 102 = 11
Therefore, the factors of 1123 are: 1, 11, 102, 1123.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1123 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1123 ÷ 11 = 102
102 ÷ 102 = 1
The prime factors of 1123 are 11 and 102.
The prime factorization of 1123 is: 11 × 102.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1123 is divided by 11 to get 102.
Step 2: Now divide 102 by 102 to get 1.
The prime factorization of 1123 is: 11 × 102.
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 1123: (1, 1123) and (11, 102).
Negative factor pairs of 1123: (-1, -1123) and (-11, -102).
Common Mistakes and How to Avoid Them in Factors of 1123
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 1123, 1 and 1123 are also factors.
Factors of 1123 Examples
Problem 1
There are 11 teams and 1123 apples. How will they divide them equally?
They will get 102 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams.
1123/11 = 102
Problem 2
A parking lot has a length of 102 meters and the total area is 1123 square meters. Find the width?
11 meters.
Explanation
To find the width of the parking lot, we use the formula, Area = length × width 1123 = 102 × width
To find the value of width, we need to shift 102 to the left side.
1123/102 = width
Width = 11.
Problem 3
There are 1,123 students participating in a marathon, each group consists of 11 students. How many groups will be there?
There will be 102 groups.
Explanation
To find the number of groups, divide the total students by the number of students per group.
1123/11 = 102
Problem 4
A theater has 1123 seats arranged in 11 rows. How many seats are in each row?
Each row has 102 seats.
Explanation
To find the number of seats in each row, divide the total seats by the number of rows.
1123/11 = 102
Problem 5
A farmer has 1,123 carrots to pack into crates, with each crate holding 102 carrots. How many crates does he need?
He needs 11 crates.
Explanation
Divide the total number of carrots by the number of carrots each crate can hold.
1123/102 = 11
FAQs on Factors of 1123
1.What are the factors of 1123?
2.Mention the prime factors of 1123.
3.Is 1123 a multiple of 11?
4.Mention the factor pairs of 1123.
5.Is 1123 a prime number?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1123?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1123 with numbers?
8.What role do numbers and Factors of 1123 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1123 skills?
Important Glossaries for Factors of 1123
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1123 are 1, 11, 102, and 1123.
- Prime factors: The factors which are prime numbers. For example, 11 is a prime factor of 1123.
- 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 1123 are (1, 1123) and (11, 102).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1123 is 11 × 102.
- Multiplication method: Finding factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method for 1123 gives factor pairs like (11, 102).
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About BrightChamps in United Arab Emirates
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.
