135 LearnersLast updated on May 29th, 2025
Factors of 1197
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 1197, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1197?
The numbers that divide 1197 evenly are known as factors of 1197.
A factor of 1197 is a number that divides the number without remainder.
The factors of 1197 are 1, 3, 9, 133, 399, and 1197.
Negative factors of 1197: -1, -3, -9, -133, -399, and -1197.
Prime factors of 1197: 3 and 133.
Prime factorization of 1197: 3³ × 133.
The sum of factors of 1197: 1 + 3 + 9 + 133 + 399 + 1197 = 1742
How to Find Factors of 1197?
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 1197. Identifying the numbers which are multiplied to get the number 1197 is the multiplication method.
Step 1: Multiply 1197 by 1, 1197 × 1 = 1197.
Step 2: Check for other numbers that give 1197 after multiplying 3 × 399 = 1197 9 × 133 = 1197
Therefore, the positive factor pairs of 1197 are: (1, 1197), (3, 399), (9, 133). All these factor pairs result in 1197.
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 1197 by 1, 1197 ÷ 1 = 1197.
Step 2: Continue dividing 1197 by the numbers until the remainder becomes 0.
1197 ÷ 1 = 1197
1197 ÷ 3 = 399
1197 ÷ 9 = 133
Therefore, the factors of 1197 are: 1, 3, 9, 133, 399, 1197.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1197 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1197 ÷ 3 = 399
399 ÷ 3 = 133
133 ÷ 133 = 1
The prime factors of 1197 are 3 and 133.
The prime factorization of 1197 is: 3² × 133.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1197 is divided by 3 to get 399.
Step 2: Now divide 399 by 3 to get 133.
Step 3: Divide 133 by 133 to get 1. Here, 133 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1197 is: 3² × 133.
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 1197: (1, 1197), (3, 399), (9, 133).
Negative factor pairs of 1197: (-1, -1197), (-3, -399), (-9, -133).
Common Mistakes and How to Avoid Them in Factors of 1197
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 1197, 1 and 1197 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1197 consist of -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1197/1.5 = 798, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1197 are prime numbers. For example, 3 and 133 are the prime factors of 1197, but it has other factors like 9, 399.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1197 as 3² × 133 and missing all the key factors.
Factors of 1197 Examples
Problem 1
A company has 9 departments and 1197 employees. How will they evenly distribute the employees?
They will get 133 employees each.
Explanation
To distribute the employees equally, divide the total employees by the number of departments.
1197/9 = 133
Problem 2
A large banner is 399 square feet and is divided into 3 equal sections. What is the area of each section?
133 square feet.
Explanation
To find the area of each section, use the formula, Area = total area ÷ number of sections
399 ÷ 3 = 133
Problem 3
A project has 3 stages and involves 1197 tasks. How many tasks are there per stage?
Each stage will have 399 tasks.
Explanation
To find the tasks per stage, divide the total tasks by the number of stages.
1197 ÷ 3 = 399
Problem 4
In a library, there are 1197 books and 9 bookshelves. How many books will be on each shelf?
There are 133 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1197 ÷ 9 = 133
Problem 5
A warehouse has 133 pallets and needs to fill 9 trucks. How many pallets will go in each truck?
Each truck will have 147 pallets.
Explanation
Divide the total pallets by the trucks.
133 ÷ 9 = 14.77 (approximately 15 pallets per truck).
FAQs on Factors of 1197
1.What are the factors of 1197?
2.Mention the prime factors of 1197.
3.Is 1197 a multiple of 3?
4.Mention the factor pairs of 1197?
5.What is the square of 1197?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 1197?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 1197 with numbers?
8.What role do numbers and Factors of 1197 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 1197 skills?
Important Glossaries for Factors of 1197
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1197 are 1, 3, 9, 133, 399, and 1197.
- Prime factors: The factors which are prime numbers. For example, 3 and 133 are prime factors of 1197.
- 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 1197 are (1, 1197), (3, 399), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For example, 1197 is expressed as 3² × 133.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the number. For example, using 3 × 399 = 1197.
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About BrightChamps in Saudi Arabia
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.
