102 LearnersLast updated on May 26th, 2025
Factors of 1113
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 1113, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1113?
The numbers that divide 1113 evenly are known as factors of 1113.
A factor of 1113 is a number that divides the number without remainder.
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, and 1113.
Negative factors of 1113: -1, -3, -7, -21, -53, -159, -371, and -1113.
Prime factors of 1113: 3, 7, and 53.
Prime factorization of 1113: 3 × 7 × 53.
The sum of factors of 1113: 1 + 3 + 7 + 21 + 53 + 159 + 371 + 1113 = 1728
How to Find Factors of 1113?
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 1113. Identifying the numbers which are multiplied to get the number 1113 is the multiplication method.
Step 1: Multiply 1113 by 1, 1113 × 1 = 1113.
Step 2: Check for other numbers that give 1113 after multiplying
3 × 371 = 1113
7 × 159 = 1113
21 × 53 = 1113
Therefore, the positive factor pairs of 1113 are: (1, 1113), (3, 371), (7, 159), and (21, 53).
All these factor pairs result in 1113.
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 the simple division method
Step 1: Divide 1113 by 1, 1113 ÷ 1 = 1113.
Step 2: Continue dividing 1113 by the numbers until the remainder becomes 0.
1113 ÷ 1 = 1113
1113 ÷ 3 = 371
1113 ÷ 7 = 159
1113 ÷ 21 = 53
Therefore, the factors of 1113 are: 1, 3, 7, 21, 53, 159, 371, and 1113.
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 1113 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1113 ÷ 3 = 371
371 ÷ 7 = 53
53 ÷ 53 = 1
The prime factors of 1113 are 3, 7, and 53.
The prime factorization of 1113 is: 3 × 7 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1113 is divided by 3 to get 371.
Step 2: Now divide 371 by 7 to get 53. Here, 53 is a prime number that cannot be divided anymore.
So, the prime factorization of 1113 is: 3 × 7 × 53.
Common Mistakes and How to Avoid Them in Factors of 1113
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 1113, 1 and 1113 are also factors.
Factors of 1113 Examples
Problem 1
There are 21 teams and 1113 players. How will they divide equally?
Each team will have 53 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1113/21 = 53
Problem 2
A rectangular conference room has a length of 53 meters and a total area of 1113 square meters. Find the width.
21 meters.
Explanation
To find the width of the room, we use the formula, Area = length × width 1113 = 53 × width
To find the value of width, we need to shift 53 to the left side.
1113/53 = width
Width = 21.
Problem 3
There are 3 buses and 1113 students. How many students will be in each bus?
Each bus will have 371 students.
Explanation
To find the students in each bus, divide the total students by the buses.
1113/3 = 371
Problem 4
In a class, there are 1113 books and 159 shelves. How many books are there in each shelf?
There are 7 books in each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books in each shelf.
1113/159 = 7
Problem 5
1113 documents need to be arranged in 53 folders. How many documents will go in each folder?
Each of the folders has 21 documents.
Explanation
Divide total documents by folders.
1113/53 = 21
FAQs on Factors of 1113
1.What are the factors of 1113?
2.Mention the prime factors of 1113.
3.Is 1113 a multiple of 7?
4.Mention the factor pairs of 1113?
5.What is the square of 1113?
6.How can children in Australia use numbers in everyday life to understand Factors of 1113?
7.What are some fun ways kids in Australia can practice Factors of 1113 with numbers?
8.What role do numbers and Factors of 1113 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1113 skills?
Important Glossaries for Factor of 1113
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1113 are 1, 3, 7, 21, 53, 159, 371, and 1113.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 53 are prime factors of 1113.
- 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 1113 are (1, 1113), (3, 371), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For instance, the prime factorization of 1113 is 3 × 7 × 53.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 1113 is a multiple of 7.
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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
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