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

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

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
   

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:

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

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)
 

• 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.