122 LearnersLast updated on May 26th, 2025
Factors of 1339
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 1339, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1339?
The numbers that divide 1339 evenly are known as factors of 1339.
A factor of 1339 is a number that divides the number without remainder.
The factors of 1339 are 1, 13, 103, and 1339.
Negative factors of 1339: -1, -13, -103, and -1339.
Prime factors of 1339: 13 and 103.
Prime factorization of 1339: 13 × 103.
The sum of factors of 1339: 1 + 13 + 103 + 1339 = 1456
How to Find Factors of 1339?
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 1339. Identifying the numbers which are multiplied to get the number 1339 is the multiplication method.
Step 1: Multiply 1339 by 1, 1339 × 1 = 1339.
Step 2: Check for other numbers that give 1339 after multiplying 13 × 103 = 1339
Therefore, the positive factor pairs of 1339 are: (1, 1339) and (13, 103).
All these factor pairs result in 1339.
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 1339 by 1, 1339 ÷ 1 = 1339.
Step 2: Continue dividing 1339 by the numbers until the remainder becomes 0.
1339 ÷ 1 = 1339
1339 ÷ 13 = 103
Therefore, the factors of 1339 are: 1, 13, 103, 1339.
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 1339 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1339 ÷ 13 = 103
103 ÷ 103 = 1
The prime factors of 1339 are 13 and 103.
The prime factorization of 1339 is: 13 × 103.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1339 is divided by 13 to get 103.
Step 2: Now divide 103 by 103 to get 1. Here, 103 is a prime number and cannot be divided further. So, the prime factorization of 1339 is: 13 × 103.
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 1339: (1, 1339) and (13, 103).
Negative factor pairs of 1339: (-1, -1339) and (-13, -103).
Common Mistakes and How to Avoid Them in Factors of 1339
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 factors. 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 1339, 1 and 1339 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1339 consist of -1, -13, -103, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1339/1.5 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 1339 are prime numbers.
For example, 13 and 103 are the prime factors of 1339, but it has other factors like 1, 1339.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1339 as 13 × 103 and missing all the key factors.
Factors of 1339 Examples
Problem 1
There are 13 people and 1339 apples. How will they divide them equally?
They will get 103 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
1339/13 = 103
Problem 2
A rectangular garden has a length of 103 meters and a total area of 1339 square meters. Find the width.
13 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1339 = 103 × width
To find the value of width, we need to shift 103 to the left side.
1339/103 = width
Width = 13.
Problem 3
There are 103 boxes and 1339 chocolates. How many chocolates will be in each box?
Each box will have 13 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the boxes.
1339/103 = 13
Problem 4
In a class, there are 1339 students, and 13 groups. How many students are there in each group?
There are 103 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1339/13 = 103
Problem 5
1339 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 103 books.
Explanation
Divide total books by shelves.
1339/13 = 103
FAQs on Factors of 1339
1.What are the factors of 1339?
2.Mention the prime factors of 1339.
3.Is 1339 a multiple of 13?
4.Mention the factor pairs of 1339?
5.Is 1339 a prime number?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1339?
7.What are some fun ways kids in Vietnam can practice Factors of 1339 with numbers?
8.What role do numbers and Factors of 1339 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1339 skills?
Important Glossaries for Factor of 1339
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1339 are 1, 13, 103, and 1339.
- Prime factors: The factors which are prime numbers. For example, 13 and 103 are prime factors of 1339.
- 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 1339 are (1, 1339) and (13, 103).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1339 is 13 × 103.
- Negative factors: The negative counterparts of the positive factors. For example, -1, -13, -103, and -1339 are negative factors of 1339.
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About BrightChamps in Vietnam
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.
