122 LearnersLast updated on May 26th, 2025
Factors of -96
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 -96, how they are used in real life, and tips to learn them quickly.
What are the Factors of -96?
The numbers that divide -96 evenly are known as factors of -96.
A factor of -96 is a number that divides the number without remainder.
The factors of -96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
Negative factors of -96: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, and -96.
Prime factors of -96: 2 and 3.
Prime factorization of -96: 25 × 3.
The sum of factors of 96: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 = 252
How to Find Factors of -96?
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 96 (ignoring the negative sign for simplicity). Identifying the numbers which are multiplied to get the number 96 is the multiplication method.
Step 1: Multiply 96 by 1, 96 × 1 = 96.
Step 2: Check for other numbers that give 96 after multiplying
2 × 48 = 96
3 × 32 = 96
4 × 24 = 96
6 × 16 = 96
8 × 12 = 96
Therefore, the positive factor pairs of 96 are: (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 96 by 1, 96 ÷ 1 = 96.
Step 2: Continue dividing 96 by the numbers until the remainder becomes 0.
96 ÷ 1 = 96
96 ÷ 2 = 48
96 ÷ 3 = 32
96 ÷ 4 = 24
96 ÷ 6 = 16
96 ÷ 8 = 12
Therefore, the factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 96 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
96 ÷ 2 = 48
48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
The prime factors of 96 are 2 and 3.
The prime factorization of 96 is: 25 × 3.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 96 is divided by 2 to get 48.
Step 2: Now divide 48 by 2 to get 24.
Step 3: Then divide 24 by 2 to get 12.
Step 4: Divide 12 by 2 to get 6.
Step 5: Divide 6 by 2 to get 3. Here, 3 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 96 is: 2^5 × 3.
Common Mistakes and How to Avoid Them in Factors of -96
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
People 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 96, 1 and 96 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of -96 consist of -1, -2, -3, etc.
Mistake 3
Including Fractions
People might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 96/1.5 = 64, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 96 are prime numbers.
For example, 2 and 3 are the prime factors of 96, but it has other factors like 4, 6, 8.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 96 as 25 × 3 and missing all the key factors.
Factors of -96 Examples
Problem 1
There are 12 students and -96 pencils. How will they divide them equally?
They will get -8 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
-96/12 = -8
Problem 2
A field is rectangular, the width of the field is 12 meters and the total area is -96 square meters. Find the length?
-8 meters.
Explanation
To find the length of the field, we use the formula,
Area = length × width
-96 = length × 12
To find the value of length, we need to shift 12 to the left side.
-96/12 = length
Length = -8.
Problem 3
There are 16 bags and -96 marbles. How many marbles will be in each bag?
Each bag will have -6 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
-96/16 = -6
Problem 4
In a class, there are -96 students, and 6 groups. How many students are there in each group?
There are -16 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
-96/6 = -16
Problem 5
-96 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has -12 books.
Explanation
Divide total books by shelves.
-96/8 = -12
FAQs on Factors of -96
1.What are the factors of -96?
2.Mention the prime factors of -96.
3.Is -96 a multiple of 4?
4.Mention the factor pairs of -96?
5.What is the square of -96?
6.How can children in Qatar use numbers in everyday life to understand Factors of -96?
7.What are some fun ways kids in Qatar can practice Factors of -96 with numbers?
8.What role do numbers and Factors of -96 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of -96 skills?
Important Glossaries for Factors of -96
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of -96.
- 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 -96 are (1, -96), (2, -48), etc.
- Negative factors: These are the negative counterparts of positive factors, such as -1, -2, -3, etc., for -96.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of -96 is 2^5 × 3.
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About BrightChamps in Qatar
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.
