100 LearnersLast updated on May 26th, 2025
Factors of 1439
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 1439, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1439?
The numbers that divide 1439 evenly are known as factors of 1439.
A factor of 1439 is a number that divides the number without remainder.
The factors of 1439 are 1, 11, 131, and 1439.
Negative factors of 1439: -1, -11, -131, and -1439.
Prime factors of 1439: 11 and 131.
Prime factorization of 1439: 11 × 131.
The sum of factors of 1439: 1 + 11 + 131 + 1439 = 1582
How to Find Factors of 1439?
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 1439. Identifying the numbers which are multiplied to get the number 1439 is the multiplication method.
Step 1: Multiply 1439 by 1, 1439 × 1 = 1439.
Step 2: Check for other numbers that give 1439 after multiplying
11 × 131 = 1439
Therefore, the positive factor pairs of 1439 are: (1, 1439) and (11, 131).
All these factor pairs result in 1439.
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 1439 by 1, 1439 ÷ 1 = 1439.
Step 2: Continue dividing 1439 by the numbers until the remainder becomes 0.
1439 ÷ 1 = 1439
1439 ÷ 11 = 131
1439 ÷ 131 = 11
Therefore, the factors of 1439 are: 1, 11, 131, 1439.
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 1439 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1439 ÷ 11 = 131
131 ÷ 131 = 1
The prime factors of 1439 are 11 and 131.
The prime factorization of 1439 is: 11 × 131.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1439 is divided by 11 to get 131.
Step 2: Now divide 131 by 131 to get 1.
So, the prime factorization of 1439 is: 11 × 131.
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 1439: (1, 1439) and (11, 131).
Negative factor pairs of 1439: (-1, -1439) and (-11, -131).
Common Mistakes and How to Avoid Them in Factors of 1439
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 1439, 1 and 1439 are also factors.
Factors of 1439 Examples
Problem 1
There are 11 teams and 1439 participants. How will they distribute the participants equally among the teams?
Each team will have 131 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1439/11 = 131
Problem 2
A rectangular garden has a length of 11 meters, and the total area is 1439 square meters. What is the width?
131 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1439 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1439/11 = width
Width = 131.
Problem 3
There are 1439 apples and 131 baskets. How many apples will be in each basket?
Each basket will have 11 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1439/131 = 11
Problem 4
In a conference, there are 1439 attendees, and 11 speakers. How many attendees will each speaker address?
Each speaker will address 131 attendees.
Explanation
Dividing the attendees by the total speakers, we will get the number of attendees each speaker addresses.
1439/11 = 131
Problem 5
1439 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each shelf will have 131 books.
Explanation
Divide the total books by the number of shelves.
1439/11 = 131
FAQs on Factors of 1439
1.What are the factors of 1439?
2.Mention the prime factors of 1439.
3.Is 1439 a multiple of 11?
4.Mention the factor pairs of 1439?
5.What is the square of 1439?
6.How can children in Canada use numbers in everyday life to understand Factors of 1439?
7.What are some fun ways kids in Canada can practice Factors of 1439 with numbers?
8.What role do numbers and Factors of 1439 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1439 skills?
Important Glossaries for Factor of 1439
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1439 are 1, 11, 131, and 1439.
- Prime factors: The factors which are prime numbers. For example, 11 and 131 are prime factors of 1439.
- 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 1439 are (1, 1439) and (11, 131).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1439 is 11 × 131.
- Negative factors: The negative counterparts of the positive factors. For example, the negative factors of 1439 are -1, -11, -131, and -1439.
Explore More numbers
Previous to Factors of 1439
About BrightChamps in Canada
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.
