Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 12 students and -96 pencils. How will they divide them equally?
They will get -8 pencils each.
To divide the pencils equally, we need to divide the total pencils by the number of students.
-96/12 = -8
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.
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.
There are 16 bags and -96 marbles. How many marbles will be in each bag?
Each bag will have -6 marbles.
To find the marbles in each bag, divide the total marbles by the bags.
-96/16 = -6
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.
Dividing the students by the total groups, we will get the number of students in each group.
-96/6 = -16
-96 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has -12 books.
Divide total books by shelves.
-96/8 = -12
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.
: She loves to read number jokes and games.