104 LearnersLast updated on May 26th, 2025
Factors of 1121
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 1121, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1121?
The numbers that divide 1121 evenly are known as factors of 1121.
A factor of 1121 is a number that divides the number without remainder.
The factors of 1121 are 1, 11, 101, and 1121.
Negative factors of 1121: -1, -11, -101, and -1121.
Prime factors of 1121: 11 and 101.
Prime factorization of 1121: 11 × 101.
The sum of factors of 1121: 1 + 11 + 101 + 1121 = 1234
How to Find Factors of 1121?
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 1121. Identifying the numbers which are multiplied to get the number 1121 is the multiplication method.
Step 1: Multiply 1121 by 1, 1121 × 1 = 1121.
Step 2: Check for other numbers that give 1121 after multiplying 11 × 101 = 1121
Therefore, the positive factor pairs of 1121 are: (1, 1121) and (11, 101).
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 1121 by 1, 1121 ÷ 1 = 1121.
Step 2: Continue dividing 1121 by the numbers until the remainder becomes 0.
1121 ÷ 1 = 1121
1121 ÷ 11 = 101
1121 ÷ 101 = 11
Therefore, the factors of 1121 are: 1, 11, 101, 1121.
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 1121 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1121 ÷ 11 = 101
101 ÷ 101 = 1
The prime factors of 1121 are 11 and 101.
The prime factorization of 1121 is: 11 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1121 is divided by 11 to get 101.
Step 2: 101 is a prime number and cannot be divided further.
So, the prime factorization of 1121 is: 11 × 101.
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 1121: (1, 1121) and (11, 101).
Negative factor pairs of 1121: (-1, -1121) and (-11, -101).
Common Mistakes and How to Avoid Them in Factors of 1121
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 1121, 1 and 1121 is also a factor.
Factors of 1121 Examples
Problem 1
There are 11 teachers and 1121 books. How will they divide it equally?
They will get 101 books each.
Explanation
To divide the books equally, we need to divide the total books with the number of teachers.
1121/11 = 101
Problem 2
A painting is rectangular, the length of the painting is 11 meters and the total area is 1121 square meters. Find the width.
101 meters.
Explanation
To find the width of the painting, we use the formula, Area = length × width 1121 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1121/11 = width
Width = 101.
Problem 3
There are 101 bags and 1121 apples. How many apples will be in each bag?
Each bag will have 11 apples.
Explanation
To find the apples in each bag, divide the total apples by the bags.
1121/101 = 11
Problem 4
In a school, there are 1121 students, and 11 classrooms. How many students are there in each classroom?
There are 101 students in each classroom.
Explanation
Dividing the students by the total classrooms, we will get the number of students in each classroom.
1121/11 = 101
Problem 5
1121 toys need to be arranged in 101 boxes. How many toys will go in each box?
Each of the boxes has 11 toys.
Explanation
Divide total toys by boxes.
1121/101 = 11
FAQs on Factors of 1121
1.What are the factors of 1121?
2.Mention the prime factors of 1121.
3.Is 1121 a multiple of 11?
4.Mention the factor pairs of 1121?
5.What is the square of 1121?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1121?
7.What are some fun ways kids in Vietnam can practice Factors of 1121 with numbers?
8.What role do numbers and Factors of 1121 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1121 skills?
Important Glossaries for Factor of 1121
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1121 are 1, 11, 101, and 1121.
- Prime factors: The factors which are prime numbers. For example, 11 and 101 are prime factors of 1121.
- 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 1121 are (1, 1121) and (11, 101).
- Prime factorization: The expression of a number as the product of its prime factors. For example, 1121 = 11 × 101.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, the negative factors of 1121 are -1, -11, -101, and -1121.
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About BrightChamps in Vietnam
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.
