101 LearnersLast updated on May 27th, 2025
Factors of 1189
Factors are the numbers that divide any given number evenly without a 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 1189, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1189?
The numbers that divide 1189 evenly are known as factors of 1189.
A factor of 1189 is a number that divides the number without a remainder.
The factors of 1189 are 1, 13, 91, and 1189.
Negative factors of 1189: -1, -13, -91, and -1189.
Prime factor of 1189: 13 and 91.
Note that 91 is not prime, but it is a factor.
Prime factorization of 1189: 13 × 7 × 13.
The sum of factors of 1189: 1 + 13 + 91 + 1189 = 1294
How to Find Factors of 1189?
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 1189. Identifying the numbers which are multiplied to get the number 1189 is the multiplication method.
Step 1: Multiply 1189 by 1, 1189 × 1 = 1189.
Step 2: Check for other numbers that give 1189 after multiplying 13 × 91 = 1189
Therefore, the positive factor pairs of 1189 are: (1, 1189) and (13, 91).
All these factor pairs result in 1189.
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 1189 by 1, 1189 ÷ 1 = 1189.
Step 2: Continue dividing 1189 by the numbers until the remainder becomes 0.
1189 ÷ 1 = 1189
1189 ÷ 13 = 91
Therefore, the factors of 1189 are: 1, 13, 91, and 1189.
Prime Factors and Prime Factorization
The factors can be found by dividing it with 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 1189 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1189 ÷ 13 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
The prime factors of 1189 are 13 and 7.
The prime factorization of 1189 is: 13 × 7 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1189 is divided by 13 to get 91.
Step 2: Now divide 91 by 7 to get 13.
Step 3: Divide 13 by 13 to get 1. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1189 is: 13 × 7 × 13.
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 1189: (1, 1189) and (13, 91).
Negative factor pairs of 1189: (-1, -1189) and (-13, -91).
Common Mistakes and How to Avoid Them in Factors of 1189
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1189, 1 and 1189 are also factors.
Factors of 1189 Examples
Problem 1
There are 13 teams and 1189 players. How will they divide the players equally?
They will get 91 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
1189/13 = 91
Problem 2
A rectangular garden has a width of 13 meters and the total area is 1189 square meters. Find the length?
91 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width
1189 = length × 13
To find the value of length, we need to shift 13 to the left side.
1189/13 = length
Length = 91.
Problem 3
There are 91 boxes and 1189 marbles. How many marbles will be in each box?
Each box will have 13 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
1189/91 = 13
Problem 4
In a competition, there are 1189 participants, and they are divided into 13 groups. How many participants are there in each group?
There are 91 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1189/13 = 91
Problem 5
1189 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 169 books.
Explanation
Divide total books by shelves.
1189/7 = 169
FAQs on Factors of 1189
1.What are the factors of 1189?
2.Mention the prime factors of 1189.
3.Is 1189 a multiple of 13?
4.Mention the factor pairs of 1189?
5.What is the square of 1189?
Important Glossaries for Factors of 1189
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1189 are 1, 13, 91, and 1189.
- Prime factors: The factors which are prime numbers. For example, 13 and 7 are prime factors of 1189.
- 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 1189 are (1, 1189) and (13, 91).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1189 is 13 × 7 × 13.
- Negative factors: The negative counterparts of positive factors. For example, -1, -13, -91, and -1189 are negative factors of 1189.
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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.
