Factors of 80

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

How to find factors of a number

1. Steps to find factors of 80 using Division Method

Find all the numbers which can divide 80 without leaving any remainder, starting from number 1 upto 40 (half of 80). The number 1 and the number (80) itself are always factors of the given number (80).
Note down all such number. All of those numbers are factors of 80.

Example: Find factors of 80

Divide 80 by 1: 80 ÷ 1 : Remainder = 0
Divide 80 by 2: 80 ÷ 2 : Remainder = 0
Divide 80 by 4: 80 ÷ 4 : Remainder = 0
Divide 80 by 5: 80 ÷ 5 : Remainder = 0
Divide 80 by 8: 80 ÷ 8 : Remainder = 0
Divide 80 by 10: 80 ÷ 10 : Remainder = 0
Divide 80 by 16: 80 ÷ 16 : Remainder = 0
Divide 80 by 20: 80 ÷ 20 : Remainder = 0
Divide 80 by 40: 80 ÷ 40 : Remainder = 0
Divide 80 by 80: 80 ÷ 80 : Remainder = 0

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

2. Steps to find factors of 80 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 80 using the division method, follow these steps:

Step 1. Start dividing 80 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
Step 2. After finding the smallest prime factor of the number 80, which is 2. Divide 80 by 2 to obtain the quotient (40).
80 ÷ 2 = 40
Step 3. Repeat step 1 with the obtained quotient (40).
40 ÷ 2 = 20

20 ÷ 2 = 10

10 ÷ 2 = 5

5 ÷ 5 = 1

So, the prime factorization of 80 is, 80 = 2 x 2 x 2 x 2 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 80 as shown below:

So, the prime factorization of 80 is, 80 = 2 x 2 x 2 x 2 x 5.

3. Find factors of 80 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 80 would be the two numbers which, when multiplied, give 80 as the result.

The following table represents the calculation of factors of 80 in pairs:

Factor Pair	Pair Factorization
1 and 80	1 x 80 = 80
2 and 40	2 x 40 = 80
4 and 20	4 x 20 = 80
5 and 16	5 x 16 = 80
8 and 10	8 x 10 = 80

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 80. They are called negative pair factors.

Hence, the negative pairs of 80 would be ( -1 , -80 ) , ( -2 , -40 ) , ( -4 , -20 ) , ( -5 , -16 ) and ( -8 , -10 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

Each number is a factor of itself. Eg. 80 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 80.
Every number is a factor of zero (0), since 80 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 are exact divisors of 80.
Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. Each factor divides 80 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 are all less than or equal to 80.

Frequently Asked Questions

What is prime factorization of 80?
Prime factorization of 80 is 2 x 2 x 2 x 2 x 5.
How do you find factors of a negative number? ( eg. -80 )?
Factors of -80 are -1, -2, -4, -5, -8, -10, -16, -20, -40, -80.
What are the prime factors of 80?
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Prime factors of 80 are 2, 2, 2, 2, 5.
What are pair factors of 80?
The pair factors of 80 are (1,80), (2,40), (4,20), (5,16), (8,10).
What is the greatest prime factors of 80?
The greatest prime factor of 80 is 5.
What are six multiples of 80?
First five multiples of 80 are 160, 240, 320, 400, 480, 560.
What are factors of 80?
Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Which is the smallest prime factor of 80?
Smallest prime factor of 80 is 2.
Is 80 a whole number?
Yes 80 is a whole number.

Examples of Factors

Kevin has been asked to write 9 factor(s) of 80. Can you predict the answer?

9 factor(s) of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40.

Sammy is puzzled while calculating the prime factors of 80. Can you help him find them?

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

What is prime factorization of 80?

Prime factorization of 80 is 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

Ariel has been assigned the task to find the product of all the prime factors of 80. Can you help her?

Prime factors of 80 are 2, 2, 2, 2, 5.
Hence, the product of prime factors of 10.

Can you help Rubel to find out the product of the even factors of 80?

Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Even factors of 80 are 2, 4, 8, 10, 16, 20, 40, 80.
Hence, product of even factors of 80 is; 2 x 4 x 8 x 10 x 16 x 20 x 40 x 80 = 655360000.

Joy wants to calculate mean of all the factors of 80. Help him in finding the mean of 80.

Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 80 is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 40 + 80 = 186.
Hence, the mean of factors of 80 is 186 ÷ 10 = 18.60.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 80? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -40, -80.