Factors of 192

The factors of 192 are 1,  2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96 and 192.

Negative Factors: These are negative counterparts for each positive factor.

Negative factors: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -64, -96, -192.

Prime Factors: Prime factors are the prime numbers themselves, and when multiplied together, they give 168 as the product.

Prime factor: 2,3

Prime Factorization: Prime factorization involves breaking 192 into its prime factors and expressing their product in exponential form.

It is expressed as 2⁶ × 3¹

Listed below are the different methods that can be used to find the factors of 192.

Methods to find the factors of 192:

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

The multiplication method finds the pair factors that give 192 as their product. Here’s a step-by-step process to follow:

Step 1: Find the pair of numbers whose product is 192. 

Step 2: These numbers are called the factor pairs.

Step 3: Make a list of numbers whose product will be 192.

A list of numbers whose products are 192 is given below:

1 × 192 = 192

2 × 96 = 192

3 × 64 =192

4 × 48 = 192

6 × 32 = 192

8 × 24 = 192

12 × 16= 192
 

The division method finds the numbers that fully divide the given number and gives zero as the remainder. Here’s a step-by-step process of the method:

Step 1: Number 1 will always be a factor because we can divide any number by 1. Example: 192÷1 = 192

Step 2: Move to the next integer. Both divisor and quotient are the factors. 

Overview of Factors of 192 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 their product using exponents.

Prime Factors of 192: There are two prime factors of 192

Prime factors of 192: 2,3

Follow the steps given below to find the prime factors of 192

Step 1:  Divide 192 using the prime number 2

192÷2 = 96

96÷2 = 48

48÷2 = 24

24÷2 = 12

12÷2 = 6

6÷2 = 3

Step 2: Divide 3 with the prime number 3

3÷3 = 1

So, the prime Factorization expresses the product of prime numbers in its exponential form

Expressed as 2⁶ × 3¹
 

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

Factor pairs of 192 are a team of 2 factors each. Their product will be equal to the number given.

 
Positive Factor Pairs: (1,192), (2,96), (3,64), (4,48), (6,32), (8,24), (12,16)

Negative Factor Pairs: (-1, -192), (-2, -96), (-3, -64), (-4, -48), (-6, -32), 
(-8, -24), (-12, -16)
 

• Divisor:  Number that divides another number

• Quotient: It is the number that gets as a result of division

• Factors: Numbers that divide the given number completely without any remainder.

• Prime Factors: Prime numbers that multiply together to form the given number.

• Prime Factorization: Process of breaking down the number into prime factors

• Negative Factors: These are the negative counterparts of the positive factor