# What are all the factors, the prime factorization, and factor pairs of 80800?

To find the factors of 80800, divide 80800 by each number starting with 1 and working up to 80800

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 80800 ?

To calculate the factors of 80800 , you can use the division method.

1. Begin by dividing 80800 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 80800.

3. Continue dividing 80800 by larger numbers until you find an odd number that does not divide evenly into 80800 .

4. The numbers that divide evenly into 80800 are the factors of 80800 .

Now let us find how to calculate all the factors of Eighty thousand eight hundred :

80800 ÷ 1 = 80800
80800 ÷ 2 = 40400
80800 ÷ 4 = 20200
80800 ÷ 5 = 16160
80800 ÷ 8 = 10100
80800 ÷ 10 = 8080
80800 ÷ 16 = 5050
80800 ÷ 20 = 4040
80800 ÷ 25 = 3232
80800 ÷ 32 = 2525
80800 ÷ 40 = 2020
80800 ÷ 50 = 1616
80800 ÷ 80 = 1010
80800 ÷ 100 = 808
80800 ÷ 101 = 800
80800 ÷ 160 = 505
80800 ÷ 200 = 404
80800 ÷ 202 = 400
80800 ÷ 400 = 202
80800 ÷ 404 = 200
80800 ÷ 505 = 160
80800 ÷ 800 = 101
80800 ÷ 808 = 100
80800 ÷ 1010 = 80
80800 ÷ 1616 = 50
80800 ÷ 2020 = 40
80800 ÷ 2525 = 32
80800 ÷ 3232 = 25
80800 ÷ 4040 = 20
80800 ÷ 5050 = 16
80800 ÷ 8080 = 10
80800 ÷ 10100 = 8
80800 ÷ 16160 = 5
80800 ÷ 20200 = 4
80800 ÷ 40400 = 2
80800 ÷ 80800 = 1

As you can see, the factors of 80800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 101 , 160 , 200 , 202 , 400 , 404 , 505 , 800 , 808 , 1010 , 1616 , 2020 , 2525 , 3232 , 4040 , 5050 , 8080 , 10100 , 16160 , 20200 , 40400 and 80800 .

## How many factors of 80800 are there ?

The factors of 80800 are the numbers that can evenly divide 80800 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 101 , 160 , 200 , 202 , 400 , 404 , 505 , 800 , 808 , 1010 , 1616 , 2020 , 2525 , 3232 , 4040 , 5050 , 8080 , 10100 , 16160 , 20200 , 40400 and 80800.

Thus, there are a total of 36 factors of 80800

## What are the factor pairs of 80800 ?

Factor Pairs of 80800 are combinations of two factors that when multiplied together equal 80800. There are many ways to calculate the factor pairs of 80800 .

One easy way is to list out the factors of 80800 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 101 , 160 , 200 , 202 , 400 , 404 , 505 , 800 , 808 , 1010 , 1616 , 2020 , 2525 , 3232 , 4040 , 5050 , 8080 , 10100 , 16160 , 20200 , 40400 , 80800

Then, pair up the factors:
(1,80800),(2,40400),(4,20200),(5,16160),(8,10100),(10,8080),(16,5050),(20,4040),(25,3232),(32,2525),(40,2020),(50,1616),(80,1010),(100,808),(101,800),(160,505),(200,404) and (202,400) These are the factor pairs of 80800 .

## Prime Factorisation of 80800

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 80800 using a factor tree, we would start by writing 80800 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 80800 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 101.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 80800 using this method, we keep dividing until it gives a non-zero remainder.

80800 ÷ 2 = 40400
40400 ÷ 2 = 20200
20200 ÷ 2 = 10100
10100 ÷ 2 = 5050
5050 ÷ 2 = 2525
2525 ÷ 5 = 505
505 ÷ 5 = 101
101 ÷ 101 = 1

So the prime factors of 80800 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 101.

## Frequently Asked Questions on Factors

### What are all the factors of 80800 ?

The factors of 80800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 101 , 160 , 200 , 202 , 400 , 404 , 505 , 800 , 808 , 1010 , 1616 , 2020 , 2525 , 3232 , 4040 , 5050 , 8080 , 10100 , 16160 , 20200 , 40400 and 80800.

### What is the prime factorization of 80800 ?

The prime factorization of 80800 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 101 or 25 x 52 x 1011, where 2 , 5 , 101 are the prime numbers .

### What are the prime factors of 80800 ?

The prime factors of 80800 are 2 , 5 , 101 .

### Is 80800 a prime number ?

A prime number is a number that has only two factors 1 and itself.
80800 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 101 , 160 , 200 , 202 , 400 , 404 , 505 , 800 , 808 , 1010 , 1616 , 2020 , 2525 , 3232 , 4040 , 5050 , 8080 , 10100 , 16160 , 20200 , 40400 and 80800.