101 LearnersLast updated on May 26th, 2025
Factors of 1989
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 1989, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1989?
The numbers that divide 1989 evenly are known as factors of 1989.
A factor of 1989 is a number that divides the number without remainder.
The factors of 1989 are 1, 3, 9, 13, 27, 39, 117, 143, 429, 663, and 1989.
Negative factors of 1989: -1, -3, -9, -13, -27, -39, -117, -143, -429, -663, and -1989.
Prime factors of 1989: 3, 3, 3, 13, 13.
Prime factorization of 1989: 33 × 132.
How to Find Factors of 1989?
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 1989. Identifying the numbers which are multiplied to get the number 1989 is the multiplication method.
Step 1: Multiply 1989 by 1, 1989 × 1 = 1989.
Step 2: Check for other numbers that give 1989 after multiplying:
3 × 663 = 1989
9 × 221 = 1989
13 × 153 = 1989
27 × 73.6667 = 1989 (not a whole number)
Therefore, the positive factor pairs of 1989 are: (1, 1989), (3, 663), (9, 221), (13, 153).
All these factor pairs result in 1989.
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 results in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1989 by 1, 1989 ÷ 1 = 1989.
Step 2: Continue dividing 1989 by the numbers until the remainder becomes 0.
1989 ÷ 1 = 1989
1989 ÷ 3 = 663
1989 ÷ 9 = 221
1989 ÷ 13 = 153
Therefore, the factors of 1989 are: 1, 3, 9, 13, 27, 39, 117, 143, 429, 663, 1989.
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 1989 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1989 ÷ 3 = 663
663 ÷ 3 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1
The prime factors of 1989 are 3, 3, 13, 17.
The prime factorization of 1989 is: 32 × 13 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1989 is divided by 3 to get 663.
Step 2: Now divide 663 by 3 to get 221.
Step 3: Then divide 221 by 13 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1989 is: 32 × 13 × 17.
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 1989: (1, 1989), (3, 663), (9, 221), (13, 153).
Negative factor pairs of 1989: (-1, -1989), (-3, -663), (-9, -221), (-13, -153).
Common Mistakes and How to Avoid Them in Factors of 1989
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 1989, 1 and 1989 are also factors.
Factors of 1989 Examples
Problem 1
A concert has 27 rows and 1989 seats. How many seats are in each row?
Each row will have 73 seats.
Explanation
To find the number of seats in each row, divide the total seats by the number of rows.
1989/27 = 73
Problem 2
A garden is rectangular, the length of the garden is 13 meters and the total area is 1989 square meters. Find the width?
153 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
1989 = 13 × width
To find the value of width, divide both sides by 13.
1989/13 = width
Width = 153.
Problem 3
There are 9 containers and 1989 marbles. How many marbles will be in each container?
Each container will have 221 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the number of containers.
1989/9 = 221
Problem 4
In a company, there are 1989 employees and 3 departments. How many employees are there in each department?
There are 663 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
1989/3 = 663
Problem 5
1989 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 153 books.
Explanation
Divide total books by shelves.
1989/13 = 153
FAQs on Factors of 1989
1.What are the factors of 1989?
2.Mention the prime factors of 1989.
3.Is 1989 a multiple of 3?
4.Mention the factor pairs of 1989?
5.What is the square of 1989?
6.How can children in Australia use numbers in everyday life to understand Factors of 1989?
7.What are some fun ways kids in Australia can practice Factors of 1989 with numbers?
8.What role do numbers and Factors of 1989 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1989 skills?
Important Glossaries for Factor of 1989
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1989 are 1, 3, 9, 13, 27, 39, 117, 143, 429, 663, and 1989.
- Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 1989.
- 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 1989 are (1, 1989), (3, 663), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1989 is 32 × 13 × 17.
- Multiple: A number that can be divided by another number without a remainder. For example, 1989 is a multiple of 3.
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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.
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