Factors of 80

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.

Negative factors of 80- There’s always a corresponding negative factor for each positive factor of 80.

Negative factors of 80: -1, -2, -4, -5, -8, -10, -16, -20, -40, -80

Prime Factors of 80- The prime numbers are the prime factors, that can only be divided by 1 and the number itself.

Prime factors of 80: 2, 5

Prime Factorization of 80- Prime factorization breaks 80 into its prime factors and expresses its product using exponents.

80 is prime factorized as 2⁴ × 5¹

An overview of the factors of 80:

Factors can be found using different methods. Mentioned below are some commonly used methods:

• Finding factors using multiplication
• Finding factors using division method
• Prime factors and Prime factorization 
   

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 80. Identifying the numbers which are multiplied to get the number 80 is the multiplication method.

Step 1: Multiply 80 by 1, 80 × 1 = 80.

Step 2: Check for other numbers that give 80 after multiplying

2 × 40 = 80
4 × 20 = 80
5 × 16 = 80
8 × 10 = 80

Therefore, the positive factor pairs of 80 are: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10). All these factor pair result in 80. For every positive factor, there is a negative factor.
 

So the pair of numbers will be (1,80), (2,40), (4,20), (5,16) and (8,10)
 

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which results as a whole numbers as factors. Factors can be calculated by following simple division method - 

Step 1: Divide 80 by 1, 80 ÷ 1 = 80.

Step 2: Continue dividing 80 by the numbers until the remainder becomes 0.

80 ÷ 1 = 80
80 ÷ 2 = 40
80 ÷ 4 = 20
80 ÷ 5 = 16
80 ÷ 8 = 10

Therefore, the factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
 

The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods: 

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 80 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1

The prime factors of 80 are 2 and 5.

The prime factorization of 80 is: 2⁴ × 5.
 

 Factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - 

Step 1: Firstly, 80 is divided by 2 to get 40.

Step 2: Now divide 40 by 2 to get 20.

Step 3: Then divide 20 by 2 to get 10.

Step 4: Divide 10 by 2 to get 5.

Here, 5 is the smallest prime numbers, that cannot be divided anymore.

So, the prime factorization of 80 is: 2⁴ × 5.

Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs. 

Positive factor pairs of 80: (1, 80), (2, 40), (4, 20), (5, 16), and (8, 10).

Negative factor pairs of 80: (-1, -80), (-2, -40), (-4, -20), (-5, -16), and (-8, -10).

Factor Pairs- Factor pairs of 80 are a team of 2 factors each. Their product will be equal to the number, that is 80.

Positive Factor Pairs: (1,80), (2,40), (4,20), (5,16), (8,10)

Negative Factor Pairs: (-1,-80), (-2, -40), (-4, -20), (-5, -16), (-8, -10)

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

• Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 80.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 80 are (1, 80), (2, 40), etc.