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 1199, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1199 evenly are known as factors of 1199.
A factor of 1199 is a number that divides the number without remainder.
The factors of 1199 are 1, 11, 109, and 1199.
Negative factors of 1199: -1, -11, -109, and -1199.
Prime factors of 1199: 11 and 109.
Prime factorization of 1199: 11 × 109.
The sum of factors of 1199: 1 + 11 + 109 + 1199 = 1320
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 1199. Identifying the numbers which are multiplied to get the number 1199 is the multiplication method.
Step 1: Multiply 1199 by 1, 1199 × 1 = 1199.
Step 2: Check for other numbers that give 1199 after multiplying:
11 × 109 = 1199
Therefore, the positive factor pairs of 1199 are: (1, 1199), (11, 109).
For every positive factor, there is a negative factor.
Dividing the given numbers with 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 1199 by 1, 1199 ÷ 1 = 1199.
Step 2: Continue dividing 1199 by the numbers until the remainder becomes 0.
1199 ÷ 1 = 1199
1199 ÷ 11 = 109
1199 ÷ 109 = 11
Therefore, the factors of 1199 are: 1, 11, 109, and 1199.
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 1199 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1199 ÷ 11 = 109
109 ÷ 109 = 1
The prime factors of 1199 are 11 and 109.
The prime factorization of 1199 is: 11 × 109.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1199 is divided by 11 to get 109. Here, 109 is a prime number, that cannot be divided anymore. So, the prime factorization of 1199 is: 11 × 109.
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 1199: (1, 1199), (11, 109).
Negative factor pairs of 1199: (-1, -1199), (-11, -109).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 11 players and 1199 points. How will they distribute the points equally?
They will get 109 points each.
To distribute the points equally, we need to divide the total points by the number of players.
1199/11 = 109
A rectangular plot has a length of 11 meters and a total area of 1199 square meters. Find the width.
109 meters.
To find the width of the plot, we use the formula,
Area = length × width
1199 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1199/11 = width
Width = 109.
There are 109 bags and 1199 candies. How many candies will be in each bag?
Each bag will have 11 candies.
To find the candies in each bag, divide the total candies by the number of bags.
1199/109 = 11
In a class, there are 1199 students, and 109 groups. How many students are there in each group?
There are 11 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1199/109 = 11
A library has 1199 books that need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 109 books.
Divide total books by shelves.
1199/11 = 109
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.