Factors of 8
2026-02-28 17:55 Diff
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Last updated on December 11, 2025

The factors of 8 factors divide 8 equally, with zero remainder. In day-to-day life, we use factors in calculating measurements that require precise division. In this article, you will learn more about the factors of 8.

What are the Factors of 8

The factors of 8 are 1, 2, 4 and 8


Negative Factors:These are negative counterparts of the positive factors.


Negative factors: -1, -2, -4, -8

Prime Factors:Prime factors are the prime numbers themselves, when multiplied together, give 8 as the product.


Prime factor: 2

Prime Factorization: Prime factorization involves breaking 8 into its prime factors.


It is expressed as 23

Table listing the factors of 8

How to Find the Factors of 8

There are different methods to find the factors of 8.

Methods to find the factors of 8:

  • Multiplication Method
  • Division Method
  • Prime Factor and Prime Factorization
  • Factor Tree

Finding Factors Using Multiplication Method

The multiplication method finds the pair of factors that give 8 as their product. Step-by-step process given below:

Step 1: Find the pair of numbers whose product is 8. 


Step 2: The factors are those numbers, when multiplied, give 8.


Step 3: Make a list of numbers whose product will be 8.

A list of numbers whose products are 8 is given below:

  • 1 × 8 = 8
  • 2 × 4 = 8
     

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Finding Factors Using Division Method

The division method finds the numbers that fully divide the given number. Step-by-step process given below:

Step 1: Since every number is divisible by 1, 1 will always be a factor.  Example: 8÷1 = 8


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

Picture showing the division method:

Prime Factors and Prime Factorization

Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is breaking down the number into its prime factors.

Prime Factors of 8: There is only one prime factor for 8.


Prime factors of 8: 2

To find the prime factors of 8, divide 8 with the prime number 2

  • 8÷2 = 4
  • 4÷2 = 2
  • 2÷2 = 1


Prime Factorization of 8: Prime Factorization breaks down the prime factors of 8


Expressed as 23

Factor Tree

The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.

Factor Tree for 8:
 

Factors of 8 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.

 
Positive Factor Pairs: (1,8), (2,4)


Negative Factor Pairs:  (-1,-8), (-2,-4)
 

Common Mistakes and How to Avoid Them in Factors of 8


Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below.

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Problem 1

Identify the perfect square from the factors of 8

Okay, lets begin

 The perfect square factor is 4
 

Explanation

 A perfect square is the number we get when the same number is multiplied two times. Here, the perfect square is 4, which is a product of 2 multiplied twice (2×2=4)
 

Well explained 👍

Problem 2

Calculate the sum of factors of 8 and check whether the sum is divisible by 5.

Okay, lets begin

 The sum of factors is 15, and it is divisible by 5
 

Explanation

List the factors of 8 and add them to get 15 as sum. The factors of 8 are 1, 2, 4 and 8. When 15 is divided by 5, we get zero as the remainder. Therefore, we can say that 15 is divisible by 5.
 

Well explained 👍

Problem 3

How many factors are there for 8?

Okay, lets begin

There are 4 factors in total
 

Explanation

List the factors of 8 and count them.


The factors of 8 are 1, 2, 4 and 8.

Well explained 👍

FAQs on Factors of 8

1.What are the composite factors of 8?

The composite factors of 8 are 4 and 8. Composite numbers are the composite factors themselves, having more than two factors. The factors of 4 are 1,2 and 4. The factors of 8 are 1,2, 4 and 8.
 

2.Why is 8 a factor of 24?

8 is a factor of 24 because 24 is completely divisible by 8. Factors are whole numbers that divide the number completely.
 

3.What are the multiples of 8?

Multiples of 8 are numbers we get when 8 is multiplied by another number. The multiples of 8 are 8 (8×1), 16 (8×2), 24 (8×24), 32 (4×8) and so on.

4.Does 18 have 8 factors?

No, there are only 6 factors of 18. The factors of 18 are 1, 2, 3, 6, 9 and 18.

5.Is 5 a factor of zero?

No, 5 is not a factor of zero. Zero can never be a factor of any number because division with zero is undefined.

Important glossaries for the Factors of 8

  • Divisor:  Number that divides another number
  • Quotient: The number you get when you divide a number with another.
  • Perfect Square: The number we get when the same number is multiplied twice.
  • Perfect Cube:  The number you get when the same number is multiplied thrice.
  • Multiple: Numbers we get when another number multiplies the given number.
     

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.