102 LearnersLast updated on May 26th, 2025
Factors of 992
Factors are the numbers that divide any given number evenly without a 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 992, how they are used in real life, and tips to learn them quickly.
What are the Factors of 992?
The numbers that divide 992 evenly are known as factors of 992.
A factor of 992 is a number that divides the number without remainder.
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, and 992.
Negative factors of 992: -1, -2, -4, -8, -16, -31, -32, -62, -124, -248, -496, and -992.
Prime factors of 992: 2 and 31.
Prime factorization of 992: 25 × 31.
The sum of factors of 992: 1 + 2 + 4 + 8 + 16 + 31 + 32 + 62 + 124 + 248 + 496 + 992 = 2016
How to Find Factors of 992?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 992. Identifying the numbers which are multiplied to get the number 992 is the multiplication method.
Step 1: Multiply 992 by 1, 992 × 1 = 992.
Step 2: Check for other numbers that give 992 after multiplying
2 × 496 = 992
4 × 248 = 992
8 × 124 = 992
16 × 62 = 992
31 × 32 = 992
Therefore, the positive factor pairs of 992 are: (1, 992), (2, 496), (4, 248), (8, 124), (16, 62), (31, 32).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 a simple division method
Step 1: Divide 992 by 1, 992 ÷ 1 = 992.
Step 2: Continue dividing 992 by the numbers until the remainder becomes 0.
992 ÷ 1 = 992
992 ÷ 2 = 496
992 ÷ 4 = 248
992 ÷ 8 = 124
992 ÷ 16 = 62
992 ÷ 31 = 32
Therefore, the factors of 992 are: 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992.
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 992 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
992 ÷ 2 = 496
496 ÷ 2 = 248
248 ÷ 2 = 124
124 ÷ 2 = 62
62 ÷ 2 = 31
31 ÷ 31 = 1
The prime factors of 992 are 2 and 31.
The prime factorization of 992 is: 25 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 992 is divided by 2 to get 496.
Step 2: Now divide 496 by 2 to get 248.
Step 3: Then divide 248 by 2 to get 124.
Step 4: Divide 124 by 2 to get 62.
Step 5: Divide 62 by 2 to get 31. Here, 31 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 992 is: 25 × 31.
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 992: (1, 992), (2, 496), (4, 248), (8, 124), (16, 62), and (31, 32).
Negative factor pairs of 992: (-1, -992), (-2, -496), (-4, -248), (-8, -124), (-16, -62), and (-31, -32).
Common Mistakes and How to Avoid Them in Factors of 992
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 992, 1 and 992 are also factors.
Factors of 992 Examples
Problem 1
A company has 992 employees and they want to form teams with an equal number of employees. If they form 8 teams, how many employees will be in each team?
Each team will have 124 employees.
Explanation
To divide the employees equally, we need to divide the total employees by the number of teams.
992/8 = 124
Problem 2
You have a 992 square meter garden and want to create rectangular plots with a length of 31 meters. What will be the width of each plot?
32 meters.
Explanation
To find the width of each plot, use the formula,
Area = length × width
992 = 31 × width
To find the value of width, divide 992 by 31.
992/31 = width
Width = 32.
Problem 3
There are 248 guests and 992 pieces of candy to distribute. How many pieces of candy will each guest get?
Each guest will get 4 pieces of candy.
Explanation
To find the pieces of candy each guest will receive, divide the total candy by the number of guests.
992/248 = 4
Problem 4
A school has 62 classrooms and 992 students. How many students will be in each classroom?
There are 16 students in each classroom.
Explanation
Dividing the students by the total classrooms, we will get the number of students in each classroom.
992/62 = 16
Problem 5
You have 496 chairs to arrange in 62 rows. How many chairs will go in each row?
Each row will have 8 chairs.
Explanation
Divide the total number of chairs by the number of rows.
496/62 = 8
FAQs on Factors of 992
1.What are the factors of 992?
2.Mention the prime factors of 992.
3.Is 992 a multiple of 4?
4.Mention the factor pairs of 992.
5.What is the square of 992?
Important Glossaries for Factors of 992
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, and 992.
- Prime factors: The factors which are prime numbers. For example, 2 and 31 are prime factors of 992.
- 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 992 are (1, 992), (2, 496), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the given number by whole numbers until the remainder is zero.
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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.
Fun Fact
: She loves to read number jokes and games.
