100 LearnersLast updated on May 26th, 2025
Factors of 1139
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 1139, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1139?
The numbers that divide 1139 evenly are known as factors of 1139.
A factor of 1139 is a number that divides the number without a remainder.
The factors of 1139 are 1, 19, 59, and 1139.
Negative factors of 1139: -1, -19, -59, and -1139.
Prime factors of 1139: 19 and 59.
Prime factorization of 1139: 19 × 59.
The sum of factors of 1139: 1 + 19 + 59 + 1139 = 1218
How to Find Factors of 1139?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1139. Identifying the numbers which are multiplied to get the number 1139 is the multiplication method.
Step 1: Multiply 1139 by 1, 1139 × 1 = 1139.
Step 2: Check for other numbers that give 1139 after multiplying 19 × 59 = 1139
Therefore, the positive factor pairs of 1139 are: (1, 1139), (19, 59).
All these factor pairs result in 1139.
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 the simple division method
Step 1: Divide 1139 by 1, 1139 ÷ 1 = 1139.
Step 2: Continue dividing 1139 by the numbers until the remainder becomes 0.
1139 ÷ 1 = 1139
1139 ÷ 19 = 59
1139 ÷ 59 = 19
Therefore, the factors of 1139 are: 1, 19, 59, 1139.
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 1139 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1139 ÷ 19 = 59
59 ÷ 59 = 1
The prime factors of 1139 are 19 and 59.
The prime factorization of 1139 is: 19 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1139 is divided by 19 to get 59.
Step 2: Now divide 59 by 59 to get 1. Here, 59 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1139 is: 19 × 59.
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 1139: (1, 1139), (19, 59).
Negative factor pairs of 1139: (-1, -1139), (-19, -59).
Common Mistakes and How to Avoid Them in Factors of 1139
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 1139, 1 and 1139 are also factors.
Factors of 1139 Examples
Problem 1
There are 1139 marbles and 19 boxes. How will they divide it equally?
They will get 59 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of boxes.
1139/19 = 59
Problem 2
A rectangular garden has a length of 19 meters and a total area of 1139 square meters. Find the width.
59 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1139 = 19 × width
To find the value of the width, we need to shift 19 to the left side.
1139/19 = width
Width = 59.
Problem 3
There are 59 gift bags and 1139 candies. How many candies will be in each bag?
Each bag will have 19 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1139/59 = 19
Problem 4
In a concert, there are 1139 seats, and 19 rows. How many seats are there in each row?
There are 59 seats in each row.
Explanation
Dividing the seats by the total rows, we will get the number of seats in each row.
1139/19 = 59
Problem 5
1139 books need to be arranged in 59 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books by shelves.
1139/59 = 19
FAQs on Factors of 1139
1.What are the factors of 1139?
2.Mention the prime factors of 1139.
3.Is 1139 a multiple of 19?
4.Mention the factor pairs of 1139?
5.What is half of 1139?
Important Glossaries for Factor of 1139
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1139 are 1, 19, 59, and 1139.
- Prime factors: The factors which are prime numbers. For example, 19 and 59 are prime factors of 1139.
- 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 1139 are (1, 1139), and (19, 59).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1139 is 19 × 59.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 1139 are -1, -19, -59, and -1139.
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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.
