Factors of 96

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96 are the factors of 96.

Negative Factors: For each positive factor, there’s a negative factor as its counterpart.

Negative factors: -1, -2, -3,  -4,  -6,  -8, -12, -16, -24, -32, -48, -96

Prime Factors:Prime factors are the prime numbers themselves

Prime factors: 2 and 3

Prime Factorization: Prime factorization expresses the product of prime factors in its exponential form.

It is expressed as 2⁵ × 3¹ 

Table listing the factors of 96

Factors of 96 can be found using different methods like: 

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

The multiplication method finds pairs of numbers that give 96 as the product.

Step 1: Find all the numbers whose product is 96. 

Step 2: These numbers identify as factors of 96

Step 3: Group the numbers as pairs and make a list

A list of numbers whose product is 96:

1 × 96 = 96

2 × 48 = 96

3 × 32 = 96

4 × 24 = 96

6 × 16 = 96

8 × 12 = 96

So the pair of numbers will be (1,96), (2,48), (3,32), (4,24), (6,16), (8,12)
 

For the division method, the process of division will go on until the remainder becomes zero.

Step 1:Number 1 will always be a factor because any number can be divided by 1. Example: 96÷1 = 96

Step 2: Move to the next integer and continue the process until you cannot divide 96 anymore

Overview of Factors of 96 using the division method

Prime factors are the prime numbers, having 1 and the numbers themselves as factors.

Prime factorization is breaking down the number into its prime factors and expressing its product using exponents.

Prime Factors of 96: Number 96 has only two prime factors.

Prime factors of 96: 2, 3

To find the prime factors of 96, follow the given steps:

Step 1: Divide 96 by 2

96÷2 = 48

48÷2 = 24

24÷2 = 12

12÷2 = 6

6÷2 = 3

Step 2: Divide 3 by 3

3÷3 = 1

For the prime factorization method, the product of prime factors of 96 is expressed as 2⁵ × 3¹
 

The prime factorization is visually represented using the factor tree. In this factor tree, each branch splits into prime factors.
 

Factor pairs of 96 are a team of 2 factors each. Their product will be equal to the number, that is 96.

Positive Factor Pairs: (1,96), (2,48), (3,32), (4,24), (6,16), (8,12)

Negative Factor Pairs:  (-1,-96), (-2,-48), (-3,-32), (-4,-24), (-6,-16), (-8,-12)
 

• Factors: Factors are the numbers that divide the given number without any remainder. 

• prime factorization: prime factorization of numbers involves breaking the number into its prime factors.

• Prime factors: Prime numbers that are divisible by 1 and the number itself

• Perfect Square: Product of the same number multiplied twice.

• Composite numbers : Composite numbers are numbers having more than two factors.