102 LearnersLast updated on May 26th, 2025
Factors of 1983
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 1983, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1983?
The numbers that divide 1983 evenly are known as factors of 1983.
A factor of 1983 is a number that divides the number without remainder.
The factors of 1983 are 1, 3, 661, and 1983.
Negative factors of 1983: -1, -3, -661, and -1983.
Prime factors of 1983: 3 and 661.
Prime factorization of 1983: 3 × 661.
The sum of factors of 1983: 1 + 3 + 661 + 1983 = 2648
How to Find Factors of 1983?
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 1983. Identifying the numbers that are multiplied to get the number 1983 is the multiplication method.
Step 1: Multiply 1983 by 1, 1983 × 1 = 1983.
Step 2: Check for other numbers that give 1983 after multiplying 3 × 661 = 1983
Therefore, the positive factor pairs of 1983 are: (1, 1983) and (3, 661).
All these factor pairs result in 1983.
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 1983 by 1, 1983 ÷ 1 = 1983.
Step 2: Continue dividing 1983 by the numbers until the remainder becomes 0.
1983 ÷ 1 = 1983
1983 ÷ 3 = 661
Therefore, the factors of 1983 are: 1, 3, 661, 1983.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1983 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1983 ÷ 3 = 661
Since 661 is a prime number, it cannot be further divided by any prime number except itself.
The prime factors of 1983 are 3 and 661.
The prime factorization of 1983 is: 3 × 661.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1983 is divided by 3 to get 661.
Step 2: Since 661 is a prime number, it cannot be divided anymore.
So, the prime factorization of 1983 is: 3 × 661.
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 1983: (1, 1983) and (3, 661).
Negative factor pairs of 1983: (-1, -1983) and (-3, -661).
Common Mistakes and How to Avoid Them in Factors of 1983
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 1983, 1 and 1983 are also factors.
Factors of 1983 Examples
Problem 1
There are 3 groups and 1983 beads. How many beads will each group get if divided equally?
Each group will get 661 beads.
Explanation
To divide the beads equally, we need to divide the total beads with the number of groups.
1983 ÷ 3 = 661
Problem 2
A piece of land is rectangular, with the length of the land being 3 meters and the total area being 1983 square meters. Find the width?
661 meters.
Explanation
To find the width of the land, we use the formula,
Area = length × width
1983 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1983 ÷ 3 = width
Width = 661.
Problem 3
There are 1983 apples and 661 baskets. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples with the number of baskets.
1983 ÷ 661 = 3
Problem 4
In a stadium, there are 1983 seats, and 3 sections. How many seats are there in each section?
There are 661 seats in each section.
Explanation
Dividing the seats with the total sections, we will get the number of seats in each section.
1983 ÷ 3 = 661
Problem 5
1983 toys need to be arranged in 3 shelves. How many toys will go on each shelf?
Each of the shelves has 661 toys.
Explanation
Divide total toys with shelves.
1983 ÷ 3 = 661
FAQs on Factors of 1983
1.What are the factors of 1983?
2.Mention the prime factors of 1983.
3.Is 1983, a multiple of 3?
4.Mention the factor pairs of 1983?
5.What is the square of 1983?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1983?
7.What are some fun ways kids in Thailand can practice Factors of 1983 with numbers?
8.What role do numbers and Factors of 1983 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1983 skills?
Important Glossaries for Factors of 1983
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1983 are 1, 3, 661, and 1983.
- Prime factors: The factors which are prime numbers. For example, 3 and 661 are prime factors of 1983.
- 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 1983 are (1, 1983) and (3, 661).
- Multiples: Numbers that can be divided by another number without a remainder. For example, 1983 is a multiple of 3.
- Prime factorization: Breaking down a composite number into its prime factors. For example, the prime factorization of 1983 is 3 × 661.
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About BrightChamps in Thailand
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.
