101 LearnersLast updated on May 26th, 2025
Factors of 1107
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 1107, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1107?
The numbers that divide 1107 evenly are known as factors of 1107.
A factor of 1107 is a number that divides the number without a remainder.
The factors of 1107 are 1, 3, 369, and 1107.
Negative factors of 1107: -1, -3, -369, and -1107.
Prime factors of 1107: 3, 7, and 53.
Prime factorization of 1107: 3 × 7 × 53.
The sum of factors of 1107: 1 + 3 + 369 + 1107 = 1480
How to Find Factors of 1107?
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 1107. Identifying the numbers that are multiplied to get the number 1107 is the multiplication method.
Step 1: Multiply 1107 by 1, 1107 × 1 = 1107.
Step 2: Check for other numbers that give 1107 after multiplying 3 × 369 = 1107
Therefore, the positive factor pairs of 1107 are: (1, 1107) and (3, 369).
All these factor pairs result in 1107.
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 1107 by 1, 1107 ÷ 1 = 1107.
Step 2: Continue dividing 1107 by the numbers until the remainder becomes 0.
1107 ÷ 1 = 1107
1107 ÷ 3 = 369
Therefore, the factors of 1107 are: 1, 3, 369, 1107.
Prime Factors and Prime Factorization
The factors can be found by dividing by 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 1107 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1107 ÷ 3 = 369
369 ÷ 3 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
The prime factors of 1107 are 3, 7, and 53.
The prime factorization of 1107 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, 1107 is divided by 3 to get 369.
Step 2: Now divide 369 by 3 to get 123.
Step 3: Then divide 123 by 3 to get 41.
Step 4: Divide 41 by 41 to get 1. Here, 41 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1107 is: 3 × 7 × 53.
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 1107: (1, 1107) and (3, 369).
Negative factor pairs of 1107: (-1, -1107) and (-3, -369).
Common Mistakes and How to Avoid Them in Factors of 1107
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 1107, 1 and 1107 are also factors.
Factors of 1107 Examples
Problem 1
There are 3 teams and 1107 participants. How will the teams be divided equally?
Each team will have 369 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1107/3 = 369
Problem 2
A rectangular plot has a length of 369 meters and a total area of 1107 square meters. Find the width.
3 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width 1107 = 369 × width
To find the value of width, we need to shift 369 to the left side.
1107/369 = width
Width = 3.
Problem 3
There are 7 conferences and 1107 attendees. How many attendees will be in each conference?
Each conference will have 158 attendees.
Explanation
To find the attendees in each conference, divide the total attendees by the conferences.
1107/7 = 158
Problem 4
In a school, there are 1107 students, and 41 classes. How many students are there in each class?
There are 27 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1107/41 = 27
Problem 5
1107 books need to be arranged in 369 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
1107/369 = 3
FAQs on Factors of 1107
1.What are the factors of 1107?
2.Mention the prime factors of 1107.
3.Is 1107 a multiple of 3?
4.Mention the factor pairs of 1107?
5.What is the square of 1107?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1107?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1107 with numbers?
8.What role do numbers and Factors of 1107 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 1107 skills?
Important Glossaries for Factors of 1107
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1107 are 1, 3, 369, and 1107.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 53 are prime factors of 1107.
- 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 1107 are (1, 1107) and (3, 369).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1107 is 3 × 7 × 53.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to the target number, such as finding that 3 and 369 multiply to 1107.
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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.
