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Last updated on September 27th, 2024

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Factors of 8

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Foundation
Intermediate
Advance Topics

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.

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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

 

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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
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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:

 

 

Overview of Factors of 8 using the division method:

 



 

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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

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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)
 

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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.