Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 13 people and 1339 apples. How will they divide them equally?
They will get 103 apples each.
To divide the apples equally, we need to divide the total apples by the number of people.
1339/13 = 103
A rectangular garden has a length of 103 meters and a total area of 1339 square meters. Find the width.
13 meters.
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.
There are 103 boxes and 1339 chocolates. How many chocolates will be in each box?
Each box will have 13 chocolates.
To find the chocolates in each box, divide the total chocolates by the boxes.
1339/103 = 13
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.
Dividing the students by the total groups, we will get the number of students in each group.
1339/13 = 103
1339 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 103 books.
Divide total books by shelves.
1339/13 = 103
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.
: She loves to read number jokes and games.