# Factors of 96

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

#### How to find factors of a number

 1.   Find factors of 96 using Division Method 2.   Find factors of 96 using Prime Factorization 3.   Find factors of 96 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 96

• Divide 96 by 1: 96 ÷ 1 : Remainder = 0
• Divide 96 by 2: 96 ÷ 2 : Remainder = 0
• Divide 96 by 3: 96 ÷ 3 : Remainder = 0
• Divide 96 by 4: 96 ÷ 4 : Remainder = 0
• Divide 96 by 6: 96 ÷ 6 : Remainder = 0
• Divide 96 by 8: 96 ÷ 8 : Remainder = 0
• Divide 96 by 12: 96 ÷ 12 : Remainder = 0
• Divide 96 by 16: 96 ÷ 16 : Remainder = 0
• Divide 96 by 24: 96 ÷ 24 : Remainder = 0
• Divide 96 by 32: 96 ÷ 32 : Remainder = 0
• Divide 96 by 48: 96 ÷ 48 : Remainder = 0
• Divide 96 by 96: 96 ÷ 96 : Remainder = 0

Hence, Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96

#### 2. Steps to find factors of 96 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 96 using the division method, follow these steps:

• Step 1. Start dividing 96 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 96, which is 2. Divide 96 by 2 to obtain the quotient (48).
96 ÷ 2 = 48
• Step 3. Repeat step 1 with the obtained quotient (48).
48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1

So, the prime factorization of 96 is, 96 = 2 x 2 x 2 x 2 x 2 x 3.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 96 as shown below:

So, the prime factorization of 96 is, 96 = 2 x 2 x 2 x 2 x 2 x 3.

#### 3. Find factors of 96 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 96 would be the two numbers which, when multiplied, give 96 as the result.

The following table represents the calculation of factors of 96 in pairs:

Factor Pair Pair Factorization
1 and 96 1 x 96 = 96
2 and 48 2 x 48 = 96
3 and 32 3 x 32 = 96
4 and 24 4 x 24 = 96
6 and 16 6 x 16 = 96
8 and 12 8 x 12 = 96

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 96. They are called negative pair factors.

Hence, the negative pairs of 96 would be ( -1 , -96 ) , ( -2 , -48 ) , ( -3 , -32 ) , ( -4 , -24 ) , ( -6 , -16 ) and ( -8 , -12 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 96 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 96.
• Every number is a factor of zero (0), since 96 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 are exact divisors of 96.
• Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Each factor divides 96 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 are all less than or equal to 96.

• How do you find factors of a negative number? ( eg. -96 )?

Factors of -96 are -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -96.

• What is the sum of all factors of 96?

The sum of all factors of 96 is 252.

• What is prime factorization of 96?

Prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3.

• What are the pair factors of 96?

Pair factors of 96 are (1,96), (2,48), (3,32), (4,24), (6,16), (8,12).

• What are six multiples of 96?

First five multiples of 96 are 192, 288, 384, 480, 576, 672.

• Is 96 a whole number?

Yes 96 is a whole number.

• Which is the smallest prime factor of 96?

Smallest prime factor of 96 is 2.

• What are five multiples of 96?

First five multiples of 96 are 192, 288, 384, 480, 576.

• Write all factors of 96?

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

#### Examples of Factors

Joey wants to write all the prime factors of 96 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 96 are 2, 2, 2, 2, 2, 3.
So in exponential form it can be written as 25 x 3.

How many factors are there for 96?

Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 96. Can you predict the answer?

11 factor(s) of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48.

Sammy is puzzled while calculating the prime factors of 96. Can you help him find them?

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

What is prime factorization of 96?

Prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3 = 25 x 3.

Ariel has been assigned the task to find the product of all the prime factors of 96. Can you help her?

Prime factors of 96 are 2, 2, 2, 2, 2, 3.
Hence, the product of prime factors of 6.

Can you help Rubel to find out the product of the even factors of 96?

Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
Even factors of 96 are 2, 4, 6, 8, 12, 16, 24, 32, 48, 96.
Hence, product of even factors of 96 is; 2 x 4 x 6 x 8 x 12 x 16 x 24 x 32 x 48 x 96 = 260919263232.