101 LearnersLast updated on May 26th, 2025
Factors of 1992
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 1992, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1992?
The numbers that divide 1992 evenly are known as factors of 1992.
A factor of 1992 is a number that divides the number without remainder.
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, and 1992.
Negative factors of 1992: -1, -2, -3, -4, -6, -8, -12, -24, -83, -166, -249, -332, -498, -664, -996, and -1992.
Prime factors of 1992: 2, 3, and 83.
Prime factorization of 1992: 23 × 3 × 83.
The sum of factors of 1992: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 83 + 166 + 249 + 332 + 498 + 664 + 996 + 1992 = 5040
How to Find Factors of 1992?
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 1992. Identifying the numbers which are multiplied to get the number 1992 is the multiplication method.
Step 1: Multiply 1992 by 1, 1992 × 1 = 1992.
Step 2: Check for other numbers that give 1992 after multiplying
2 × 996 = 1992
3 × 664 = 1992
4 × 498 = 1992
6 × 332 = 1992
8 × 249 = 1992
12 × 166 = 1992
24 × 83 = 1992
Therefore, the positive factor pairs of 1992 are: (1, 1992), (2, 996), (3, 664), (4, 498), (6, 332), (8, 249), (12, 166), and (24, 83).
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 the simple division method
Step 1: Divide 1992 by 1, 1992 ÷ 1 = 1992.
Step 2: Continue dividing 1992 by the numbers until the remainder becomes 0.
1992 ÷ 1 = 1992
1992 ÷ 2 = 996
1992 ÷ 3 = 664
1992 ÷ 4 = 498
1992 ÷ 6 = 332
1992 ÷ 8 = 249
1992 ÷ 12 = 166
1992 ÷ 24 = 83
Therefore, the factors of 1992 are: 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, and 1992.
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 1992 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1992 ÷ 2 = 996
996 ÷ 2 = 498
498 ÷ 2 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1
The prime factors of 1992 are 2, 3, and 83.
The prime factorization of 1992 is: 23 × 3 × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1992 is divided by 2 to get 996.
Step 2: Now divide 996 by 2 to get 498.
Step 3: Then divide 498 by 2 to get 249.
Step 4: Divide 249 by 3 to get 83. Here, 83 is a prime number that cannot be divided anymore.
So, the prime factorization of 1992 is: 23 × 3 × 83.
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 1992: (1, 1992), (2, 996), (3, 664), (4, 498), (6, 332), (8, 249), (12, 166), (24, 83).
Negative factor pairs of 1992: (-1, -1992), (-2, -996), (-3, -664), (-4, -498), (-6, -332), (-8, -249), (-12, -166), (-24, -83).
Common Mistakes and How to Avoid Them in Factors of 1992
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 1992, 1 and 1992 are also factors.
Factors of 1992 Examples
Problem 1
There are 8 teams and 1992 participants. How will they divide equally?
Each team will have 249 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1992/8 = 249
Problem 2
A rectangular garden has a length of 12 meters and a total area of 1992 square meters. Find the width.
166 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1992 = 12 × width
To find the value of width, we need to shift 12 to the left side.
1992/12 = width
Width = 166.
Problem 3
There are 24 containers and 1992 objects. How many objects will be in each container?
Each container will have 83 objects.
Explanation
To find the objects in each container, divide the total objects by the number of containers.
1992/24 = 83
Problem 4
In a company, there are 1992 employees, and 6 departments. How many employees are there in each department?
There are 332 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
1992/6 = 332
Problem 5
1992 books need to be arranged in 3 sections. How many books will go on each section?
Each section will have 664 books.
Explanation
Divide total books by sections.
1992/3 = 664
FAQs on Factors of 1992
1.What are the factors of 1992?
2.Mention the prime factors of 1992.
3.Is 1992 a multiple of 4?
4.Mention the factor pairs of 1992?
5.What is the square of 1992?
6.How can children in Australia use numbers in everyday life to understand Factors of 1992?
7.What are some fun ways kids in Australia can practice Factors of 1992 with numbers?
8.What role do numbers and Factors of 1992 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1992 skills?
Important Glossaries for Factors of 1992
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, and 1992.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 83 are prime factors of 1992.
- 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 1992 are (1, 1992), (2, 996), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1992 is 23 × 3 × 83.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number.
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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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