Last updated on May 29th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A company has 9 departments and 1197 employees. How will they evenly distribute the employees?
They will get 133 employees each.
To distribute the employees equally, divide the total employees by the number of departments.
1197/9 = 133
A large banner is 399 square feet and is divided into 3 equal sections. What is the area of each section?
133 square feet.
To find the area of each section, use the formula, Area = total area ÷ number of sections
399 ÷ 3 = 133
A project has 3 stages and involves 1197 tasks. How many tasks are there per stage?
Each stage will have 399 tasks.
To find the tasks per stage, divide the total tasks by the number of stages.
1197 ÷ 3 = 399
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.
Dividing the books by the total shelves, we will get the number of books on each shelf.
1197 ÷ 9 = 133
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.
Divide the total pallets by the trucks.
133 ÷ 9 = 14.77 (approximately 15 pallets per truck).
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.
: She loves to read number jokes and games.