Factors of 80 include 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. The factors of 80 are the numbers that can divide 80 without leaving any remainder. These factors include both positive and negative integers.

In this article, we will discuss all the topics related to the factors of 80, including all the factors of 80, both prime factors, and methods to find these factors.

What are Factors of 80?

The factors of 80 are those numbers that can evenly divide 80 without leaving a remainder. For example, 80 can be divided by 2 with a quotient of 40. There are in total ten such numbers that can divide 80 without leaving any remainder. Hence, factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.

Factors of 80 Calculator

Try out the following calculator to find the factors of 80

All Factors of 80

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

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How to Find the Factors of 80?

To find the factors of 80, we can use the following methods

• Factors of 80 using Division
• Factors of 80 using Multiplication

Factors of 80 using Division

Factors of 80 are numbers which can evenly divide 80. Based on this concept we will divide 80 with some numbers and check whether they can divide 80 or not. In case, a number divides 80, both quotient and divisor are factors of 80

• 1 is the factor of 80 as 80 ÷ 1 = 80.
• 2 is the factor of 80 as 80 ÷ 2 = 40.
• 4 is the factor of 80 as 80 ÷ 4 = 20.
• 5 is the factor of 80 as 80 ÷ 5 = 16.
• 8 is the factor of 80 as 80 ÷ 8 = 10.
• 10 is the factor of 80 as 80 ÷ 10 = 8.
• 16 is the factor of 80 as 80 ÷ 16 = 5.
• 20 is the factor of 80 as 80 ÷ 20 = 4.
• 40 is the factor of 80 as 80 ÷ 40 = 2.
• 80 is the factor of 80 as 80 ÷ 80 = 1.

Factors of 80 using Multiplication

Factors of 80 can be multiplied in certain order to get the product 80. Hence, factors of 80 using multiplication are mentioned below:

• 1 × 80 = 80 ⇒ 1 and 80 are factors of 80
• 2 × 40 = 80 ⇒ 2 and 40 are factors of 80
• 4 × 20 = 80 ⇒ 4 and 20 are factors of 80
• 5 × 16 = 80 ⇒ 5 and 16 are factors of 80
• 8 × 10 = 80 ⇒ 8 and 10 are factors of 80

Prime Factorization of 80

To express 80 as the product of prime numbers, use prime factorization. Prime factorization is a process of repeated division such that the divisor each time is only a prime number. For 80, the prime factorization of 80 is shown below:

Prime Factors of 80

Since, the prime factorization of 80 = 2 × 2 × 2 × 2 × 5. Here we see that there are two distinct prime numbers 2 and 5. Hence, the prime factors of 80 are 2 and 5.

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Factor Tree of 80

Factor tree is a chart that shows all the prime factors of a number in the form of a tree like diagram. For 80 we can make the factor tree of 80 as follows:

Factor Pairs of 80

The factors when paired together, give the original number back. These pairs can include both positive and negative numbers.

Positive Factor Pairs of 80

The positive factor pairs of 80 in the form of product is shown below:

• 1 × 80 = 80
• 2 × 40 = 80
• 4 × 20 = 80
• 5 × 16 = 80
• 8 × 10 = 80

Hence, the positive pairs of factors of 80 are (1,80), (2,40), (4,20), (5,16) and (8,10)

Negative Factor Pairs of 80

The positive factor pairs of 80 in the form of product is shown below:

• (-1) × (-80) = 80
• (-2) × (-40) = 80
• (-4) × (-20) = 80
• (-5) × (-16) = 80
• (-8) × (-10) = 80

Hence, the positive pairs of factors of 80 are (1,80), (2,40), (4,20), (5,16) and (8,10)

Also, Check

• Greatest Common Factor (GCF)
• Factors of 20
• Factors of 40

Solved Examples on Factors of 80

Example 1: Find the common factors of 80 and 100.

Solution:

Factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50 and 100

Common factors = 1, 2, 4, 5, 10 and 20

Example 2: Check if 80 is a Prime Number?

Solution:

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

Since 80 has more than two factors, it is not a prime number.

Example 3: Are factors and multiples of 80 the same?

Solution:

No, the factors of 80 are the numbers smaller than or equal to 80, that completely divide 80 whereas, the multiples are the numbers that come in the table of 80 and are equal to and greater than 80.

Example 4: Find the sum of factors of 80

Solution:

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

The sum therefore is 186.

Practice Problems on Factors of 80

Q1. What is the greatest prime factor of 80?

Q2. What is the GCF of 80 and 72.

Q3. Is 16 a factor of 80?

Q4. Find the common factors of 80 and 64.

Q5. What is the product of the greatest and smallest factor of 80?

Factors of 80 Frequently Asked Questions

What are Factors of 80?

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

How do you Find the Factors of 80?

To find the factors of 80, you can divide 80 by various numbers and check which ones result in whole number quotients without remainders.

What is the Prime Factorization of 80?

The prime factorization of 80 is 2 × 2 × 2 × 2 × 5.

How Many Factors does 80 have?

The total factors of 80 are 10.

What is the Highest Prime Factor of 80?

The prime factors of 80 are 2 × 2 × 2 × 2 × 5. Thus, the highest prime factor is 5.

What is the Sum of All the Factors of 80?

The sum of all the factors of 80 is 186.

Is 80 a Prime Number?

No, 80 is not a prime number because it has more than two factors