# What are all the factors, the prime factorization, and factor pairs of 18000?

To find the factors of 18000, divide 18000 by each number starting with 1 and working up to 18000

## 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 18000 ?

To calculate the factors of 18000 , you can use the division method.

1. Begin by dividing 18000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 18000.

3. Continue dividing 18000 by larger numbers until you find an odd number that does not divide evenly into 18000 .

4. The numbers that divide evenly into 18000 are the factors of 18000 .

Now let us find how to calculate all the factors of Eighteen thousand :

18000 ÷ 1 = 18000
18000 ÷ 2 = 9000
18000 ÷ 3 = 6000
18000 ÷ 4 = 4500
18000 ÷ 5 = 3600
18000 ÷ 6 = 3000
18000 ÷ 8 = 2250
18000 ÷ 9 = 2000
18000 ÷ 10 = 1800
18000 ÷ 12 = 1500
18000 ÷ 15 = 1200
18000 ÷ 16 = 1125
18000 ÷ 18 = 1000
18000 ÷ 20 = 900
18000 ÷ 24 = 750
18000 ÷ 25 = 720
18000 ÷ 30 = 600
18000 ÷ 36 = 500
18000 ÷ 40 = 450
18000 ÷ 45 = 400
18000 ÷ 48 = 375
18000 ÷ 50 = 360
18000 ÷ 60 = 300
18000 ÷ 72 = 250
18000 ÷ 75 = 240
18000 ÷ 80 = 225
18000 ÷ 90 = 200
18000 ÷ 100 = 180
18000 ÷ 120 = 150
18000 ÷ 125 = 144
18000 ÷ 144 = 125
18000 ÷ 150 = 120
18000 ÷ 180 = 100
18000 ÷ 200 = 90
18000 ÷ 225 = 80
18000 ÷ 240 = 75
18000 ÷ 250 = 72
18000 ÷ 300 = 60
18000 ÷ 360 = 50
18000 ÷ 375 = 48
18000 ÷ 400 = 45
18000 ÷ 450 = 40
18000 ÷ 500 = 36
18000 ÷ 600 = 30
18000 ÷ 720 = 25
18000 ÷ 750 = 24
18000 ÷ 900 = 20
18000 ÷ 1000 = 18
18000 ÷ 1125 = 16
18000 ÷ 1200 = 15
18000 ÷ 1500 = 12
18000 ÷ 1800 = 10
18000 ÷ 2000 = 9
18000 ÷ 2250 = 8
18000 ÷ 3000 = 6
18000 ÷ 3600 = 5
18000 ÷ 4500 = 4
18000 ÷ 6000 = 3
18000 ÷ 9000 = 2
18000 ÷ 18000 = 1

As you can see, the factors of 18000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 and 18000 .

## How many factors of 18000 are there ?

The factors of 18000 are the numbers that can evenly divide 18000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 and 18000.

Thus, there are a total of 60 factors of 18000

## What are the factor pairs of 18000 ?

Factor Pairs of 18000 are combinations of two factors that when multiplied together equal 18000. There are many ways to calculate the factor pairs of 18000 .

One easy way is to list out the factors of 18000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 , 18000

Then, pair up the factors:
(1,18000),(2,9000),(3,6000),(4,4500),(5,3600),(6,3000),(8,2250),(9,2000),(10,1800),(12,1500),(15,1200),(16,1125),(18,1000),(20,900),(24,750),(25,720),(30,600),(36,500),(40,450),(45,400),(48,375),(50,360),(60,300),(72,250),(75,240),(80,225),(90,200),(100,180),(120,150) and (125,144) These are the factor pairs of 18000 .

## Prime Factorisation of 18000

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 18000 using a factor tree, we would start by writing 18000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 18000 would be 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5.

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 18000 using this method, we keep dividing until it gives a non-zero remainder.

18000 ÷ 2 = 9000
9000 ÷ 2 = 4500
4500 ÷ 2 = 2250
2250 ÷ 2 = 1125
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 18000 are 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 18000 ?

The factors of 18000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 and 18000.

### What is the prime factorization of 18000 ?

The prime factorization of 18000 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 or 24 x 32 x 53, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 18000 ?

The prime factors of 18000 are 2 , 3 , 5 .

### Is 18000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
18000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 48 , 50 , 60 , 72 , 75 , 80 , 90 , 100 , 120 , 125 , 144 , 150 , 180 , 200 , 225 , 240 , 250 , 300 , 360 , 375 , 400 , 450 , 500 , 600 , 720 , 750 , 900 , 1000 , 1125 , 1200 , 1500 , 1800 , 2000 , 2250 , 3000 , 3600 , 4500 , 6000 , 9000 and 18000.