# What are all the factors, the prime factorization, and factor pairs of 54000?

To find the factors of 54000, divide 54000 by each number starting with 1 and working up to 54000

## 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 54000 ?

To calculate the factors of 54000 , you can use the division method.

1. Begin by dividing 54000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 54000.

3. Continue dividing 54000 by larger numbers until you find an odd number that does not divide evenly into 54000 .

4. The numbers that divide evenly into 54000 are the factors of 54000 .

Now let us find how to calculate all the factors of Fifty-four thousand :

54000 ÷ 1 = 54000
54000 ÷ 2 = 27000
54000 ÷ 3 = 18000
54000 ÷ 4 = 13500
54000 ÷ 5 = 10800
54000 ÷ 6 = 9000
54000 ÷ 8 = 6750
54000 ÷ 9 = 6000
54000 ÷ 10 = 5400
54000 ÷ 12 = 4500
54000 ÷ 15 = 3600
54000 ÷ 16 = 3375
54000 ÷ 18 = 3000
54000 ÷ 20 = 2700
54000 ÷ 24 = 2250
54000 ÷ 25 = 2160
54000 ÷ 27 = 2000
54000 ÷ 30 = 1800
54000 ÷ 36 = 1500
54000 ÷ 40 = 1350
54000 ÷ 45 = 1200
54000 ÷ 48 = 1125
54000 ÷ 50 = 1080
54000 ÷ 54 = 1000
54000 ÷ 60 = 900
54000 ÷ 72 = 750
54000 ÷ 75 = 720
54000 ÷ 80 = 675
54000 ÷ 90 = 600
54000 ÷ 100 = 540
54000 ÷ 108 = 500
54000 ÷ 120 = 450
54000 ÷ 125 = 432
54000 ÷ 135 = 400
54000 ÷ 144 = 375
54000 ÷ 150 = 360
54000 ÷ 180 = 300
54000 ÷ 200 = 270
54000 ÷ 216 = 250
54000 ÷ 225 = 240
54000 ÷ 240 = 225
54000 ÷ 250 = 216
54000 ÷ 270 = 200
54000 ÷ 300 = 180
54000 ÷ 360 = 150
54000 ÷ 375 = 144
54000 ÷ 400 = 135
54000 ÷ 432 = 125
54000 ÷ 450 = 120
54000 ÷ 500 = 108
54000 ÷ 540 = 100
54000 ÷ 600 = 90
54000 ÷ 675 = 80
54000 ÷ 720 = 75
54000 ÷ 750 = 72
54000 ÷ 900 = 60
54000 ÷ 1000 = 54
54000 ÷ 1080 = 50
54000 ÷ 1125 = 48
54000 ÷ 1200 = 45
54000 ÷ 1350 = 40
54000 ÷ 1500 = 36
54000 ÷ 1800 = 30
54000 ÷ 2000 = 27
54000 ÷ 2160 = 25
54000 ÷ 2250 = 24
54000 ÷ 2700 = 20
54000 ÷ 3000 = 18
54000 ÷ 3375 = 16
54000 ÷ 3600 = 15
54000 ÷ 4500 = 12
54000 ÷ 5400 = 10
54000 ÷ 6000 = 9
54000 ÷ 6750 = 8
54000 ÷ 9000 = 6
54000 ÷ 10800 = 5
54000 ÷ 13500 = 4
54000 ÷ 18000 = 3
54000 ÷ 27000 = 2
54000 ÷ 54000 = 1

As you can see, the factors of 54000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 90 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 300 , 360 , 375 , 400 , 432 , 450 , 500 , 540 , 600 , 675 , 720 , 750 , 900 , 1000 , 1080 , 1125 , 1200 , 1350 , 1500 , 1800 , 2000 , 2160 , 2250 , 2700 , 3000 , 3375 , 3600 , 4500 , 5400 , 6000 , 6750 , 9000 , 10800 , 13500 , 18000 , 27000 and 54000 .

## How many factors of 54000 are there ?

The factors of 54000 are the numbers that can evenly divide 54000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 90 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 300 , 360 , 375 , 400 , 432 , 450 , 500 , 540 , 600 , 675 , 720 , 750 , 900 , 1000 , 1080 , 1125 , 1200 , 1350 , 1500 , 1800 , 2000 , 2160 , 2250 , 2700 , 3000 , 3375 , 3600 , 4500 , 5400 , 6000 , 6750 , 9000 , 10800 , 13500 , 18000 , 27000 and 54000.

Thus, there are a total of 80 factors of 54000

## What are the factor pairs of 54000 ?

Factor Pairs of 54000 are combinations of two factors that when multiplied together equal 54000. There are many ways to calculate the factor pairs of 54000 .

One easy way is to list out the factors of 54000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 90 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 300 , 360 , 375 , 400 , 432 , 450 , 500 , 540 , 600 , 675 , 720 , 750 , 900 , 1000 , 1080 , 1125 , 1200 , 1350 , 1500 , 1800 , 2000 , 2160 , 2250 , 2700 , 3000 , 3375 , 3600 , 4500 , 5400 , 6000 , 6750 , 9000 , 10800 , 13500 , 18000 , 27000 , 54000

Then, pair up the factors:
(1,54000),(2,27000),(3,18000),(4,13500),(5,10800),(6,9000),(8,6750),(9,6000),(10,5400),(12,4500),(15,3600),(16,3375),(18,3000),(20,2700),(24,2250),(25,2160),(27,2000),(30,1800),(36,1500),(40,1350),(45,1200),(48,1125),(50,1080),(54,1000),(60,900),(72,750),(75,720),(80,675),(90,600),(100,540),(108,500),(120,450),(125,432),(135,400),(144,375),(150,360),(180,300),(200,270),(216,250) and (225,240) These are the factor pairs of 54000 .

## Prime Factorisation of 54000

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 54000 using a factor tree, we would start by writing 54000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 54000 would be 2 x 2 x 2 x 2 x 3 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 54000 using this method, we keep dividing until it gives a non-zero remainder.

54000 ÷ 2 = 27000
27000 ÷ 2 = 13500
13500 ÷ 2 = 6750
6750 ÷ 2 = 3375
3375 ÷ 3 = 1125
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 54000 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 54000 ?

The factors of 54000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 90 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 300 , 360 , 375 , 400 , 432 , 450 , 500 , 540 , 600 , 675 , 720 , 750 , 900 , 1000 , 1080 , 1125 , 1200 , 1350 , 1500 , 1800 , 2000 , 2160 , 2250 , 2700 , 3000 , 3375 , 3600 , 4500 , 5400 , 6000 , 6750 , 9000 , 10800 , 13500 , 18000 , 27000 and 54000.

### What is the prime factorization of 54000 ?

The prime factorization of 54000 is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 or 24 x 33 x 53, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 54000 ?

The prime factors of 54000 are 2 , 3 , 5 .

### Is 54000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
54000 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 , 27 , 30 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 90 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 300 , 360 , 375 , 400 , 432 , 450 , 500 , 540 , 600 , 675 , 720 , 750 , 900 , 1000 , 1080 , 1125 , 1200 , 1350 , 1500 , 1800 , 2000 , 2160 , 2250 , 2700 , 3000 , 3375 , 3600 , 4500 , 5400 , 6000 , 6750 , 9000 , 10800 , 13500 , 18000 , 27000 and 54000.