# What are all the factors, the prime factorization, and factor pairs of 43200?

To find the factors of 43200, divide 43200 by each number starting with 1 and working up to 43200

## 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 43200 ?

To calculate the factors of 43200 , you can use the division method.

1. Begin by dividing 43200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 43200.

3. Continue dividing 43200 by larger numbers until you find an odd number that does not divide evenly into 43200 .

4. The numbers that divide evenly into 43200 are the factors of 43200 .

Now let us find how to calculate all the factors of Forty-three thousand two hundred :

43200 ÷ 1 = 43200
43200 ÷ 2 = 21600
43200 ÷ 3 = 14400
43200 ÷ 4 = 10800
43200 ÷ 5 = 8640
43200 ÷ 6 = 7200
43200 ÷ 8 = 5400
43200 ÷ 9 = 4800
43200 ÷ 10 = 4320
43200 ÷ 12 = 3600
43200 ÷ 15 = 2880
43200 ÷ 16 = 2700
43200 ÷ 18 = 2400
43200 ÷ 20 = 2160
43200 ÷ 24 = 1800
43200 ÷ 25 = 1728
43200 ÷ 27 = 1600
43200 ÷ 30 = 1440
43200 ÷ 32 = 1350
43200 ÷ 36 = 1200
43200 ÷ 40 = 1080
43200 ÷ 45 = 960
43200 ÷ 48 = 900
43200 ÷ 50 = 864
43200 ÷ 54 = 800
43200 ÷ 60 = 720
43200 ÷ 64 = 675
43200 ÷ 72 = 600
43200 ÷ 75 = 576
43200 ÷ 80 = 540
43200 ÷ 90 = 480
43200 ÷ 96 = 450
43200 ÷ 100 = 432
43200 ÷ 108 = 400
43200 ÷ 120 = 360
43200 ÷ 135 = 320
43200 ÷ 144 = 300
43200 ÷ 150 = 288
43200 ÷ 160 = 270
43200 ÷ 180 = 240
43200 ÷ 192 = 225
43200 ÷ 200 = 216
43200 ÷ 216 = 200
43200 ÷ 225 = 192
43200 ÷ 240 = 180
43200 ÷ 270 = 160
43200 ÷ 288 = 150
43200 ÷ 300 = 144
43200 ÷ 320 = 135
43200 ÷ 360 = 120
43200 ÷ 400 = 108
43200 ÷ 432 = 100
43200 ÷ 450 = 96
43200 ÷ 480 = 90
43200 ÷ 540 = 80
43200 ÷ 576 = 75
43200 ÷ 600 = 72
43200 ÷ 675 = 64
43200 ÷ 720 = 60
43200 ÷ 800 = 54
43200 ÷ 864 = 50
43200 ÷ 900 = 48
43200 ÷ 960 = 45
43200 ÷ 1080 = 40
43200 ÷ 1200 = 36
43200 ÷ 1350 = 32
43200 ÷ 1440 = 30
43200 ÷ 1600 = 27
43200 ÷ 1728 = 25
43200 ÷ 1800 = 24
43200 ÷ 2160 = 20
43200 ÷ 2400 = 18
43200 ÷ 2700 = 16
43200 ÷ 2880 = 15
43200 ÷ 3600 = 12
43200 ÷ 4320 = 10
43200 ÷ 4800 = 9
43200 ÷ 5400 = 8
43200 ÷ 7200 = 6
43200 ÷ 8640 = 5
43200 ÷ 10800 = 4
43200 ÷ 14400 = 3
43200 ÷ 21600 = 2
43200 ÷ 43200 = 1

As you can see, the factors of 43200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 108 , 120 , 135 , 144 , 150 , 160 , 180 , 192 , 200 , 216 , 225 , 240 , 270 , 288 , 300 , 320 , 360 , 400 , 432 , 450 , 480 , 540 , 576 , 600 , 675 , 720 , 800 , 864 , 900 , 960 , 1080 , 1200 , 1350 , 1440 , 1600 , 1728 , 1800 , 2160 , 2400 , 2700 , 2880 , 3600 , 4320 , 4800 , 5400 , 7200 , 8640 , 10800 , 14400 , 21600 and 43200 .

## How many factors of 43200 are there ?

The factors of 43200 are the numbers that can evenly divide 43200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 108 , 120 , 135 , 144 , 150 , 160 , 180 , 192 , 200 , 216 , 225 , 240 , 270 , 288 , 300 , 320 , 360 , 400 , 432 , 450 , 480 , 540 , 576 , 600 , 675 , 720 , 800 , 864 , 900 , 960 , 1080 , 1200 , 1350 , 1440 , 1600 , 1728 , 1800 , 2160 , 2400 , 2700 , 2880 , 3600 , 4320 , 4800 , 5400 , 7200 , 8640 , 10800 , 14400 , 21600 and 43200.

Thus, there are a total of 84 factors of 43200

## What are the factor pairs of 43200 ?

Factor Pairs of 43200 are combinations of two factors that when multiplied together equal 43200. There are many ways to calculate the factor pairs of 43200 .

One easy way is to list out the factors of 43200 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 108 , 120 , 135 , 144 , 150 , 160 , 180 , 192 , 200 , 216 , 225 , 240 , 270 , 288 , 300 , 320 , 360 , 400 , 432 , 450 , 480 , 540 , 576 , 600 , 675 , 720 , 800 , 864 , 900 , 960 , 1080 , 1200 , 1350 , 1440 , 1600 , 1728 , 1800 , 2160 , 2400 , 2700 , 2880 , 3600 , 4320 , 4800 , 5400 , 7200 , 8640 , 10800 , 14400 , 21600 , 43200

Then, pair up the factors:
(1,43200),(2,21600),(3,14400),(4,10800),(5,8640),(6,7200),(8,5400),(9,4800),(10,4320),(12,3600),(15,2880),(16,2700),(18,2400),(20,2160),(24,1800),(25,1728),(27,1600),(30,1440),(32,1350),(36,1200),(40,1080),(45,960),(48,900),(50,864),(54,800),(60,720),(64,675),(72,600),(75,576),(80,540),(90,480),(96,450),(100,432),(108,400),(120,360),(135,320),(144,300),(150,288),(160,270),(180,240),(192,225) and (200,216) These are the factor pairs of 43200 .

## Prime Factorisation of 43200

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 43200 using a factor tree, we would start by writing 43200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 43200 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 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 43200 using this method, we keep dividing until it gives a non-zero remainder.

43200 ÷ 2 = 21600
21600 ÷ 2 = 10800
10800 ÷ 2 = 5400
5400 ÷ 2 = 2700
2700 ÷ 2 = 1350
1350 ÷ 2 = 675
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 43200 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 43200 ?

The factors of 43200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 108 , 120 , 135 , 144 , 150 , 160 , 180 , 192 , 200 , 216 , 225 , 240 , 270 , 288 , 300 , 320 , 360 , 400 , 432 , 450 , 480 , 540 , 576 , 600 , 675 , 720 , 800 , 864 , 900 , 960 , 1080 , 1200 , 1350 , 1440 , 1600 , 1728 , 1800 , 2160 , 2400 , 2700 , 2880 , 3600 , 4320 , 4800 , 5400 , 7200 , 8640 , 10800 , 14400 , 21600 and 43200.

### What is the prime factorization of 43200 ?

The prime factorization of 43200 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 or 26 x 33 x 52, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 43200 ?

The prime factors of 43200 are 2 , 3 , 5 .

### Is 43200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
43200 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 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 108 , 120 , 135 , 144 , 150 , 160 , 180 , 192 , 200 , 216 , 225 , 240 , 270 , 288 , 300 , 320 , 360 , 400 , 432 , 450 , 480 , 540 , 576 , 600 , 675 , 720 , 800 , 864 , 900 , 960 , 1080 , 1200 , 1350 , 1440 , 1600 , 1728 , 1800 , 2160 , 2400 , 2700 , 2880 , 3600 , 4320 , 4800 , 5400 , 7200 , 8640 , 10800 , 14400 , 21600 and 43200.