Factor of 80

Representations of 80 in different bases are 3(2222), 6(212), 9(88), 15(551), 19(44), and 39(22). In this lesson, we will calculate the factors of 80, prime factors of 80, and factors of 80 in pairs along with solved examples for a better understanding.

• Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80
• Prime Factorization of 80: 80 = 2⁴ × 5

In this chapter, we will learn about the factors of 80, prime factors of 80, factors of 80 in pair, factors of 80 by prime factorization, and methods to find factors of 80 using interactive examples. Check out the practice questions to know more about the lesson at the end of the page.

Table of Contents

What Are the Factors of 80?

Factors of 80 are those numbers that exactly divide it and give the remainder as 0.For example, 80/1 = 80

We get 80 as a quotient and 0 as the remainder. This means 80 is divisible by 1. Hence the possible factors of 80 are:

• 80/2 = 40
• 80/4 = 20
• 80/5 = 16
• 80/8 = 10

How to Calculate the Factors of 80?

We can use different methods to find factors of 80 such as prime factorization and the division method. In prime factorization, we express 80 as a product of its prime factors and in the division method, we see what numbers divide 80 exactly without leaving a remainder. 80 is a composite number. It should have prime factors. Now, let us learn how to calculate the prime factors of the number 80.

The first step is to divide the number 80 with the smallest prime factor, say 2, and so on.

• 80/2 = 40
• 80/4 = 20
• 80/5 = 16 
• 80/8 = 10

The division shows that the number 80 is exactly divisible by 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

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

Explore factors using illustrations and interactive examples.

• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 45 - The factors of 45 are  1, 3, 5, 9, 15, 45
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36, 72

Think Tank:

• Can you think of the negative factors of 80?
• Can multiples be also factors of 80?

Factors of 80 by Prime Factorization

Here we will use the upside-down division method to find the factors of 80. It can be represented as:

The factor tree method can also be used to find factors of 80. It is represented as:

The factors of 80 by the prime factorization method are 1, 2, 5, 10, 20, 40, and 80.
Here, 2 and 5 are the prime factors of 80.

Factors of 80 in Pairs

To find the factors of 80 in pairs, multiply the two numbers in a pair to get the resultant number as 80. Such numbers are as follows.

• 1 × 80 = 80

Therefore (1, 80) is a pair factor of 80.

Similarly, let us find other pairs.

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

Therefore, factors of 80 in pairs are (1, 80), (2, 40), (4, 20), (5, 16), and (8, 10).When we multiply two negative numbers, we get the original number or resultant as positive. Hence 80 has negative factor pairs as well.
For example, -1 × -80 = 80; therefore (-1, -80) is a negative pair factor of 80.

Important Notes:

• Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
• 1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself exactly.
• Pair factors of a number are two numbers which, when multiplied, give the original number.
• The factors of 80 in pairs are (1, 80), (2, 40), (4, 20), (5, 16), and (8, 10).
• 2 and 5 are the prime factors of 80.

FAQs on Factors of 80

What are the prime factors of 80?

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

Is 80 a prime number or a composite number?

A prime number does not have a factor other than 1 and itself.
A composite number has factors other than 1 and itself.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
Hence, it is a composite number.

What are the factors of 80?

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

What are the positive and negative factors of 80?

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

What are the common factors of 80 and 60 ?

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 80
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The common factors of 80 and 60 are 1, 2, 4, 5, 10, and 20.