120 LearnersLast updated on May 26th, 2025
Factors of 1173
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 1173, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1173?
The numbers that divide 1173 evenly are known as factors of 1173. A factor of 1173 is a number that divides the number without remainder. The factors of 1173 are 1, 3, 9, 13, 39, 117, 391, and 1173.
Negative factors of 1173: -1, -3, -9, -13, -39, -117, -391, and -1173.
Prime factors of 1173: 3 and 13.
Prime factorization of 1173: 32× 13 × 3.
The sum of factors of 1173: 1 + 3 + 9 + 13 + 39 + 117 + 391 + 1173 = 1746
How to Find Factors of 1173?
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 1173. Identifying the numbers that are multiplied to get the number 1173 is the multiplication method.
Step 1: Multiply 1173 by 1, 1173 × 1 = 1173.
Step 2: Check for other numbers that give 1173 after multiplying:
3 × 391 = 1173
9 × 130 = 1173
13 × 90 = 1173
Therefore, the positive factor pairs of 1173 are: (1, 1173), (3, 391), (9, 130), (13, 90). 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 1173 by 1, 1173 ÷ 1 = 1173.
Step 2: Continue dividing 1173 by the numbers until the remainder becomes 0.
1173 ÷ 1 = 1173
1173 ÷ 3 = 391
1173 ÷ 9 = 130
1173 ÷ 13 = 90
Therefore, the factors of 1173 are: 1, 3, 9, 13, 39, 117, 391, 1173.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1173 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1173 ÷ 3 = 391
391 ÷ 13 = 30
The prime factors of 1173 are 3 and 13. The prime factorization of 1173 is: 32 × 13 × 3.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1173 is divided by 3 to get 391.
Step 2: Now divide 391 by 13 to get 30. Here, 30 is the smallest number that can be broken down further into its prime factors. So, the prime factorization of 1173 is: 3^2 × 13 × 3.
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 1173: (1, 1173), (3, 391), (9, 130), (13, 90).
- Negative factor pairs of 1173: (-1, -1173), (-3, -391), (-9, -130), (-13, -90).
Common Mistakes and How to Avoid Them in Factors of 1173
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 factors for every number. Always remember to include 1 and the number itself. For example, in factors of 1173, 1 and 1173 are also factors.
Factors of 1173 Examples
Problem 1
There are 9 teams and 1173 participants. How will they divide equally?
Each team will have 130 participants.
Explanation
To divide the participants equally, we need to divide the total participants with the number of teams.
1173/9 = 130
Problem 2
A rectangular garden has a length of 13 meters and a total area of 1173 square meters. Find the width.
The width is 90 meters.
Explanation
To find the width of the garden, we use the formula:
Area = length × width
1173 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1173/13 = width
Width = 90.
Problem 3
There are 13 trucks and 1173 boxes. How many boxes will be in each truck?
Each truck will have 90 boxes.
Explanation
To find the boxes in each truck, divide the total boxes with the trucks.
1173/13 = 90
Problem 4
In a tournament, there are 1173 participants and 3 categories. How many participants are there in each category?
There are 391 participants in each category.
Explanation
Dividing the participants with the total categories, we will get the number of participants in each category.
1173/3 = 391
Problem 5
1173 pages need to be printed in 13 books. How many pages will go in each book?
Each book will have 90 pages.
Explanation
Divide total pages with books.
1173/13 = 90
FAQs on Factors of 1173
1.What are the factors of 1173?
2.Mention the prime factors of 1173.
3.Is 1173 a multiple of 39?
4.Mention the factor pairs of 1173?
5.What is the square of 1173?
Important Glossaries for Factor of 1173
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1173 are 1, 3, 9, 13, 39, 117, 391, and 1173.
- Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 1173.
- Prime factorization: Breaking down a number into its prime factors. The prime factorization of 1173 is 32 × 13 × 3.
- 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 1173 are (1, 1173), (3, 391), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 1173 is a multiple of 39. ```
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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
: She loves to read number jokes and games.
