114 LearnersLast updated on April 10th, 2025
Factors of 139
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 139, how they are used in real life, and tips to learn them quickly.
What are the Factors of 139?
The numbers that divide 139 evenly are known as factors of 139. A factor of 139 is a number that divides the number without a remainder. The factors of 139 are 1 and 139.
Negative factors of 139: -1 and -139.
Prime factors of 139: 139. Since 139 is a prime number, it has no prime factorization other than itself.
The sum of factors of 139: 1 + 139 = 140
How to Find Factors of 139?
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 139. Identifying the numbers which are multiplied to get the number 139 is the multiplication method. Since 139 is a prime number, the only multiplication that gives 139 is:
Step 1: Multiply 139 by 1, 139 × 1 = 139.
Therefore, the positive factor pair of 139 is: (1, 139). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 139 by 1, 139 ÷ 1 = 139.
Step 2: Check if 139 can be divided by any other whole number except 139 itself, which it cannot since it is a prime number.
Therefore, the factors of 139 are: 1 and 139.
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, since 139 is a prime number, it cannot be broken down further into other prime factors. The prime factorization of 139 is simply 139.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 139 is a prime number, it does not break further. So, the prime factorization of 139 is just 139.
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 pair of 139: (1, 139).
- Negative factor pair of 139: (-1, -139).
Common Mistakes and How to Avoid Them in Factors of 139
Factors of 139 Examples
Problem 1
There are 139 pages in a book. If it is divided into 1 section, how many pages are in that section?
Explanation
Problem 2
A garden is circular with a circumference of 139 meters. What is the circumference of an identical garden if the radius is halved?
Explanation
Problem 3
An artist has 139 paints and wants to create an equal distribution among 1 gallery. How many paints does each gallery receive?
Explanation
Problem 4
There are 139 chairs in a hall, and they need to be divided into 1 row. How many chairs are there in each row?
Explanation
Problem 5
139 students need to be arranged in 1 group for an event. How many students will be in that group?
Explanation
FAQs on Factors of 139
1.What are the factors of 139?
2.Mention the prime factors of 139.
3.Is 139 a multiple of any number other than 1 and itself?
4.Mention the factor pair of 139?
5.What is the square of 139?
Important Glossaries for Factor of 139
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 139 are 1 and 139.
- Prime factors: The factors which are prime numbers. Since 139 is a prime number, it is its own prime factor.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 139 is (1, 139).
- Prime number: A number greater than 1 with no divisors other than 1 and itself. 139 is an example of a prime number.
- Multiplication method: A method to find factors by identifying number pairs that produce the target number. For example, 1×139 gives 139.
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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
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