What are all the factors of 80?

So you need to find the factor pairs for 80 do you? Fear not! In this quick guide we'll describe what the factor pairs of 80 are, how you find them and list them out for you to prove the calculation works. Let's dive in!

Índice Show

What Are Factor Pairs?
List of Factor Pairs for 80
Factor Pair Calculator
Next Factor Pair Calculation
Prime Factorization of 80
Prime Factorization of 80 by Upside-Down Division Method
Prime Factorization of 80 by Factor Tree Method

What Are Factor Pairs?

A factor pair is a combination of two factors which can be multiplied together to equal 80. In proper math terms, the number 80 is called the product and the two numbers that can be multiplied together to equal it are called the factors.

In order to work out the factor pairs of 80 we need to first get all of the factors of 80. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.

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

List of Factor Pairs for 80

Okay, so we know all of the factors for 80 now and to work out the factor pairs we can go through that list and find all of the different combinations that can be used to multiply together to result in 80.

If there are a lot of factors then it might take you a little while to calculate all of the factor pairs, but luckily we have the power of computers and can calculate the factor pairs of 80 for you automatically:

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

So there you have it. A complete guide to the factor pairs of 80. Hopefully this will help you in your math class to learn (or teach) factor pairs in a way that is easy to understand.

Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. Just make sure to pick small numbers! ;)

Factor Pair Calculator

Want to find the factor pairs for another number? Enter your number below and click calculate.

Next Factor Pair Calculation

WordPress measures how many posts are written about certain topics each month and then they publish their findings. The results for March were published in the march-hot-list/. Cat lovers were informed, “your beloved felines yet again got trounced by their canine frenemies. Dogs: 10,589; cats: 6,401. Is that a big, defiant “meow” we hear? Maybe you’ll do better in April.”

I have two sisters who truly love their cats. Although I personally prefer neither pet over the other, I hate to see cats so clearly in the “underdog” role. Today’s puzzle looks a teeny tiny bit like the head of a cat, so I’m tagging it with the word “cats.” Of course, this post alone will not be enough to make much of a difference in April’s statistics.

This week’s puzzles and last week’s solutions: 10 Factors 2014-03-31

80 is a composite number. 80 = 1 x 80, 2 x 40, 4 x 20, 5 x 16, and 8 x 10. Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.

Sometimes 80 is a clue in the FIND THE FACTORS puzzles. Even though it has other factors, the only multiplication fact we use is 8 x 10 = 80.

Factors of 80 are basically the numbers that divide it evenly or exactly without leaving any remainder i.e if a number divides 80 with a remainder of zero, then that number is called a factor.

All Factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80
Factors in pairs:(1,80),(2,40),(4,20),(5,16),(8,10)
Prime factors : 2, 5

Now, let us see the prime factors and prime factorization of the number.

Prime Factorization of 80

Prime factorization is a method of “expressing” or finding the given number as the product of prime numbers. If a number occurs more than once in prime factorization, it is usually expressed in exponential form to make it more compact.

Prime factorization of 80 : 2 x 2 x 2 x 2 x 5

Prime Factorization of 80 by Upside-Down Division Method

Upside-Down Division is one of the techniques used in the Prime factorization method to find factors of numbers.

In this method, you will divide a given “composite” number evenly by the several prime numbers(starting from the smallest) till it gets a prime number.

It is called Upside-Down Division because the symbol is flipped upside down.

Here, 80 is an even number. So it is undoubtedly divisible by 2 with no remainder.

Thus we do 80÷ 2 = 40. Now find the prime factors of the obtained quotient.

Repeat Step 1 and Step 2 until we get a result of prime number as the quotient.

Here, 40 is the quotient. Now find the prime factor of 40

40÷ 2 = 20

Similarly 20÷ 2 = 10

Then 10÷ 2 = 5. Here, 5 is the prime number.

So we can stop the process.

So, now the prime factorization of 80 with the upside-down division method is 2 × 2 × 2 × 2 × 5.

Prime Factorization of 80 by Factor Tree Method

The Factor tree method is another technique for producing the prime factorization and all factors of a given number.

To use this method for a number x,

Firstly consider two factors say a,b of x such that a*b is equal to x and at least one of them (a, b) is a prime factor say a.

Then consider two factors of b say c, d such that again at least one of them is a prime factor. This process is repeated until both the factors are prime i.e if we get both the factors as prime at any step, we stop the process there.

Following is the factor tree of the given number.

Here also we get the prime factorisation of 80 as 2 * 2 * 2 * 2 * 5 and the two prime factors are 2, 5