130 LearnersLast updated on May 29th, 2025
Factors of 1199
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.
What are the Factors of 1199?
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
How to Find Factors of 1199?
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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1199
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
People 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 1199, 1 and 1199 are also factors.
Mistake 2
Missing Negative Factors
Often, only positive factors are mentioned every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1199 include -1, -11, -109, etc.
Mistake 3
Including the Fraction
Sometimes fractions might be mistakenly included as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1199/1.5 = 799.333, 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 1199 are prime numbers. For example, 11 and 109 are the prime factors of 1199, but it has other factors like 1 and 1199.
Mistake 5
Mistake in Factorization
Mistakes can occur if steps in factorization are skipped, leading to incorrect factors.
For example, not breaking 1199 as 11 × 109 and missing all the key factors.
Factors of 1199 Examples
Problem 1
There are 11 players and 1199 points. How will they distribute the points equally?
They will get 109 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of players.
1199/11 = 109
Problem 2
A rectangular plot has a length of 11 meters and a total area of 1199 square meters. Find the width.
109 meters.
Explanation
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.
Problem 3
There are 109 bags and 1199 candies. How many candies will be in each bag?
Each bag will have 11 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
1199/109 = 11
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1199/109 = 11
Problem 5
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.
Explanation
Divide total books by shelves.
1199/11 = 109
FAQs on Factors of 1199
1.What are the factors of 1199?
2.Mention the prime factors of 1199.
3.Is 1199 a multiple of 11?
4.Mention the factor pairs of 1199?
5.What is the square of 1199?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1199?
7.What are some fun ways kids in United Kingdom can practice Factors of 1199 with numbers?
8.What role do numbers and Factors of 1199 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1199 skills?
Important Glossaries for Factors of 1199
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1199 are 1, 11, 109, and 1199.
- Prime factors: The factors which are prime numbers. For example, 11 and 109 are prime factors of 1199.
- 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 1199 are (1, 1199) and (11, 109).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1199 is 11 × 109.
- Negative factors: Factors that are negative and divide the number without leaving a remainder. For example, the negative factors of 1199 are -1, -11, -109, and -1199.
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About BrightChamps in United Kingdom
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.
