Factors of 96
Factors of 96 are numbers that, when multiplied in pairs give the product as 96. It has a total of 12 factors of which 96 is the biggest factor and the prime factors of 96 are 2 and 3. The sum of all factors of 96 is 252.
 Factors of 96: 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, 3
 Prime Factorization of 96: 2 × 2 × 2 × 2 × 2 × 3 = 2^{5} × 3
 Sum of Factors of 96: 252
1.  What are Factors of 96? 
2.  Factors of 96 by Prime Factorization 
3.  Factors of 96 in Pairs 
What are Factors of 96?
We can use division to check whether 2, 4, 6, 16, 24, and 48 are factors of 96. As they leave no remainder, they are indeed the factors of 96.
Explore factors using illustrations and interactive examples:
 Factors of 72: The factors of 72 are 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36, and 72.
 Factors of 97: The factors of 97 are 1 and 97.
 Factors of 48: The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
 Factors of 108: The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.
 Factors of 6: The factors of 6 are 1, 2, 3, and 6.
How to Calculate the Factors of 96?
There are two common methods to find the factors of 96:
 Division method
 Prime factorization method
Let us calculate the factors of 96 using the division method. Let's consider the numbers that can divide 96 without remainders. We will start with 1, then check 2, 3, 4, 5, 6, 7, 8, 9, etc. up to 48 (which is exactly half of 96).
Division  Result 
96 ÷ 1  gives remainder 0, 1 is a factor 
96 ÷ 2  gives remainder 0, 2 is a factor 
96 ÷ 3  gives remainder 0, 3 is a factor 
96 ÷ 4  gives remainder 0, 4 is a factor 
96 ÷ 6  gives remainder 0, 6 is a factor 
96 ÷ 8  gives remainder 0, 8 is a factor 
96 ÷ 12  gives remainder 0, 12 is a factor 
96 ÷ 16  gives remainder 0, 16 is a factor 
96 ÷ 24  gives remainder 0, 24 is a factor 
96 ÷ 32  gives remainder 0, 32 is a factor 
96 ÷ 48  gives remainder 0, 48 is a factor 
96 ÷ 96  gives remainder 0, 96 is a factor 
Factors of 96 by Prime Factorization
Factorization means to write the number as a product of its factors. Prime Factorization refers to finding which prime numbers multiply together to form the original number.
 Step 1: Divide the number 96 with the smallest prime factor, say 2. 96 ÷ 2 = 48
 Step 2: Divide 48 again by 2. 48 ÷ 2 = 24
 Step 3: Divide 24 again by 2. 24 ÷ 2 = 12 and continue this division
 Step 4: 12 ÷ 2 = 6
 Step 5: 6 ÷ 2 = 3
 Step 6: Now if we will divide 3 by 2, we will get a fractional number and a factor cannot be a fraction or a decimal number. So, let's proceed with the next prime factor, say 3. 3 ÷ 3 = 1
The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2^{5} × 3^{1}, where 2 and 3 are the prime numbers.
Factor tree of 96
 The same division process is best represented in the form of a factor tree as given below:
 A factor tree is a special branching diagram where we find the factors of a number, then we find the factors of those numbers, etc. until we cannot factor anymore.
 The ends of a factor tree are all prime factors of the original number.
There are many ways of creating the factor tree of 96:
Factors of 96 in Pairs
Pair factors of the number 96 are the whole numbers which when multiplied give the original number, i.e. 96. Pair factors could be either positive or negative. There are 12 pair factors of 96 and they are: (1,96), (1,96), (2,48), (2,48), (3,32), (3,32), (4,24), (4,24), (6,16), (6,16), (8,12), and (8,12).
Important Notes
 96 is a composite number.
 2 and 3 are the only prime numbers that are factors of 96.
 The number of factors of a given number is finite; 96 has a total of 12 factors.
Tips and Tricks:
 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2^{5} × 3^{1}
 To get the total numbers of factors of 96, simply add one to the exponent 5 and 1 and multiply their sums. (5 + 1) × (1 + 1) = 6 × 2 = 12
 Thus, 96 has 12 factors and they are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
Factors of 96 Solved Examples

Example 1: Joey wants to calculate the sum of all the factors of the number 96. Can you help him?
Solution:
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Sum of all the given factors = 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 = 252.

Example 2: Emanuel was given the assignment to find the mean of all the factors of 96. Can you help him in finding the mean?
Solution:
Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 therefore sum of the factors is 1+ 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 = 252.
To calculate the mean, we will divide the sum of the factors by the total number of factors.
 252 ÷ 12 = 21
mean of all the factors of 96 is 21. 
Example 3: Find the product of all the prime factors of 96.
Solution:
Since, the prime factors of 96 are 2, 3. Therefore, the product of prime factors = 2 × 3 = 6.
FAQs on Factors of 96
What are the Factors of 96?
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 and its negative factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
What is the Sum of all the Factors of 96?
Sum of all factors of 96 = (2^{5 + 1}  1)/(2  1) × (3^{1 + 1}  1)/(3  1) = 252
What numbers are the Pair Factors of 96?
The pair factors of 96 are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12).
What is the Greatest Common Factor of 96 and 19?
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 and the factors of 19 are 1, 19. 96 and 19 have only one common factor which is 1. This implies that 96 and 19 are coprime.
Hence, the Greatest Common Factor (GCF) of 96 and 19 is 1.
What are the Common Factors of 96 and 77?
Since, the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 and factors of 77 are 1, 7, 11, 77. Hence, 96 and 77 have only one common factor which is 1. Therefore, 96 and 77 are coprime.