# What are all the factors, the prime factorization, and factor pairs of 12000?

To find the factors of 12000, divide 12000 by each number starting with 1 and working up to 12000

## 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 12000 ?

To calculate the factors of 12000 , you can use the division method.

1. Begin by dividing 12000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 12000.

3. Continue dividing 12000 by larger numbers until you find an odd number that does not divide evenly into 12000 .

4. The numbers that divide evenly into 12000 are the factors of 12000 .

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

12000 ÷ 1 = 12000
12000 ÷ 2 = 6000
12000 ÷ 3 = 4000
12000 ÷ 4 = 3000
12000 ÷ 5 = 2400
12000 ÷ 6 = 2000
12000 ÷ 8 = 1500
12000 ÷ 10 = 1200
12000 ÷ 12 = 1000
12000 ÷ 15 = 800
12000 ÷ 16 = 750
12000 ÷ 20 = 600
12000 ÷ 24 = 500
12000 ÷ 25 = 480
12000 ÷ 30 = 400
12000 ÷ 32 = 375
12000 ÷ 40 = 300
12000 ÷ 48 = 250
12000 ÷ 50 = 240
12000 ÷ 60 = 200
12000 ÷ 75 = 160
12000 ÷ 80 = 150
12000 ÷ 96 = 125
12000 ÷ 100 = 120
12000 ÷ 120 = 100
12000 ÷ 125 = 96
12000 ÷ 150 = 80
12000 ÷ 160 = 75
12000 ÷ 200 = 60
12000 ÷ 240 = 50
12000 ÷ 250 = 48
12000 ÷ 300 = 40
12000 ÷ 375 = 32
12000 ÷ 400 = 30
12000 ÷ 480 = 25
12000 ÷ 500 = 24
12000 ÷ 600 = 20
12000 ÷ 750 = 16
12000 ÷ 800 = 15
12000 ÷ 1000 = 12
12000 ÷ 1200 = 10
12000 ÷ 1500 = 8
12000 ÷ 2000 = 6
12000 ÷ 2400 = 5
12000 ÷ 3000 = 4
12000 ÷ 4000 = 3
12000 ÷ 6000 = 2
12000 ÷ 12000 = 1

As you can see, the factors of 12000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 750 , 800 , 1000 , 1200 , 1500 , 2000 , 2400 , 3000 , 4000 , 6000 and 12000 .

## How many factors of 12000 are there ?

The factors of 12000 are the numbers that can evenly divide 12000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 750 , 800 , 1000 , 1200 , 1500 , 2000 , 2400 , 3000 , 4000 , 6000 and 12000.

Thus, there are a total of 48 factors of 12000

## What are the factor pairs of 12000 ?

Factor Pairs of 12000 are combinations of two factors that when multiplied together equal 12000. There are many ways to calculate the factor pairs of 12000 .

One easy way is to list out the factors of 12000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 750 , 800 , 1000 , 1200 , 1500 , 2000 , 2400 , 3000 , 4000 , 6000 , 12000

Then, pair up the factors:
(1,12000),(2,6000),(3,4000),(4,3000),(5,2400),(6,2000),(8,1500),(10,1200),(12,1000),(15,800),(16,750),(20,600),(24,500),(25,480),(30,400),(32,375),(40,300),(48,250),(50,240),(60,200),(75,160),(80,150),(96,125) and (100,120) These are the factor pairs of 12000 .

## Prime Factorisation of 12000

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 12000 using a factor tree, we would start by writing 12000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 12000 would be 2 x 2 x 2 x 2 x 2 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 12000 using this method, we keep dividing until it gives a non-zero remainder.

12000 ÷ 2 = 6000
6000 ÷ 2 = 3000
3000 ÷ 2 = 1500
1500 ÷ 2 = 750
750 ÷ 2 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 12000 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 12000 ?

The factors of 12000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 750 , 800 , 1000 , 1200 , 1500 , 2000 , 2400 , 3000 , 4000 , 6000 and 12000.

### What is the prime factorization of 12000 ?

The prime factorization of 12000 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 or 25 x 31 x 53, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 12000 ?

The prime factors of 12000 are 2 , 3 , 5 .

### Is 12000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
12000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 750 , 800 , 1000 , 1200 , 1500 , 2000 , 2400 , 3000 , 4000 , 6000 and 12000.