Factors of 88

The factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88 

Negative Factors: For each positive factor, there is a corresponding negative factor.

Negative factors: -1 -2, -4, -8, -11, -22, -44, -88

Prime Factors: Prime factors are the prime numbers that can be divided by 1 and the number itself.

The prime factors of 88 are: 2, 11

Prime Factorization: The product of prime factors gets expressed in its exponential form.

It is expressed as 2³ × 11¹

Table listing the factors of 88
 

We can use various methods to find the factors of 88. Here’s a list of methods that can be used:

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

In the multiplication method, we find pairs of numbers whose product will be 88. The steps used are:

Step 1: Identify the pair of numbers that will give 88 as the product.

Step 2: These numbers will be identified as the factors of 88

Step 3: Make a list of pair of numbers whose product will be 88. 

A list of numbers whose products are 88 is given below:

• 1 × 88 = 88

• 2 × 44 = 88

• 4 × 22 = 88

• 8 × 11 = 88
   

For the division method, the divisor, and the quotient are its factors. 

Step-by-step process

Step 1: Always start the division with 1, since 1 is the smallest factor of any given number. Example: 88÷1 = 88.

Here, 1 and 88 are the factors

Step 2: Move on to the next number and check if 88 is getting completely divided. Continue this process until you can’t divide 88 anymore.

Overview of Factors of 88 using the division method

Prime factorization is the process where the prime factors are expressed in their exponential form. The prime numbers are numbers that can only be divided by 1 and the number itself.

Prime Factors of 88:There are two prime factors for 88.

Prime factors of 88: 2, 11

To find the factors of 88, 

Step 1:  Divide 88 using the prime number 2

88÷2 = 44

44÷2 = 22

22÷2 = 11

Step 2: Divide 11 with the prime number 11

11÷11 = 1

For the prime factorization method, 88 can be expressed as 2³ × 11^1. 
 

The factor tree gives you the visual representation of prime factorization.

Factor Tree for 88:
 

Factor pairs are formed when two factors are grouped. When these factor pairs are multiplied together, we get 88 as the product.

 
Positive Factor Pairs: (1,88), (2,44), (4,22), (8,11)

Negative Factor Pairs:  (-1,-88), (-2,-44), (-4,-22), (-8,-11)

• 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.