100 LearnersLast updated on May 26th, 2025
Factors of 1389
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1389, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1389?
The numbers that divide 1389 evenly are known as factors of 1389.
A factor of 1389 is a number that divides the number without remainder.
The factors of 1389 are 1, 3, 463, and 1389.
Negative factors of 1389: -1, -3, -463, and -1389.
Prime factors of 1389: 3 and 463.
Prime factorization of 1389: 3 × 463.
The sum of factors of 1389: 1 + 3 + 463 + 1389 = 1856
How to Find Factors of 1389?
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 1389. Identifying the numbers which are multiplied to get the number 1389 is the multiplication method.
Step 1: Multiply 1389 by 1, 1389 × 1 = 1389.
Step 2: Check for other numbers that give 1389 after multiplying 3 × 463 = 1389
Therefore, the positive factor pairs of 1389 are: (1, 1389) and (3, 463).
All these factor pairs result in 1389.
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 1389 by 1, 1389 ÷ 1 = 1389.
Step 2: Continue dividing 1389 by the numbers until the remainder becomes 0.
1389 ÷ 1 = 1389
1389 ÷ 3 = 463
Therefore, the factors of 1389 are: 1, 3, 463, 1389.
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 1389 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1389 ÷ 3 = 463
463 ÷ 463 = 1
The prime factors of 1389 are 3 and 463.
The prime factorization of 1389 is: 3 × 463.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1389 is divided by 3 to get 463.
Step 2: Now divide 463 by 463 to get 1. Here, 463 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1389 is: 3 × 463.
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 1389: (1, 1389), (3, 463).
Negative factor pairs of 1389: (-1, -1389), (-3, -463).
Common Mistakes and How to Avoid Them in Factors of 1389
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 1389, 1 and 1389 are also factors.
Factors of 1389 Examples
Problem 1
There are 3 teams and 1389 people. How can they be divided equally?
They will have 463 people in each team.
Explanation
To divide the people equally, we need to divide the total number of people by the number of teams.
1389/3 = 463
Problem 2
A rectangular banner has a length of 3 meters, and its total area is 1389 square meters. Find the width.
463 meters.
Explanation
To find the width of the banner, we use the formula, Area = length × width 1389 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1389/3 = width
Width = 463.
Problem 3
There are 463 chairs and 1389 people. How many people will share each chair?
Each chair will be shared by 3 people.
Explanation
To find the number of people sharing each chair, divide the total number of people by the number of chairs.
1389/463 = 3
Problem 4
A factory produces 1389 widgets in 3 hours. How many widgets are produced each hour?
463 widgets per hour.
Explanation
Dividing the total widgets by the total hours gives the number of widgets produced per hour.
1389/3 = 463
Problem 5
1389 pages need to be distributed into 3 sections. How many pages will go into each section?
Each section will have 463 pages.
Explanation
Divide the total pages by the number of sections.
1389/3 = 463
FAQs on Factors of 1389
1.What are the factors of 1389?
2.Mention the prime factors of 1389.
3.Is 1389 a multiple of 3?
4.Mention the factor pairs of 1389.
5.What is the square of 1389?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1389?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1389 with numbers?
8.What role do numbers and Factors of 1389 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1389 skills?
Important Glossaries for Factors of 1389
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1389 are 1, 3, 463, and 1389.
- Prime factors: The factors which are prime numbers. For example, 3 and 463 are prime factors of 1389.
- 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 1389 are (1, 1389) and (3, 463).
- Multiples: A number that can be divided by another number without leaving a remainder. For example, 1389 is a multiple of 3.
- Prime factorization: Breaking down a number into a product of prime factors. For example, the prime factorization of 1389 is 3 × 463.
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About BrightChamps in United Arab Emirates
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.
