# What are all the factors, the prime factorization, and factor pairs of 55200?

To find the factors of 55200, divide 55200 by each number starting with 1 and working up to 55200

## 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 55200 ?

To calculate the factors of 55200 , you can use the division method.

1. Begin by dividing 55200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 55200.

3. Continue dividing 55200 by larger numbers until you find an odd number that does not divide evenly into 55200 .

4. The numbers that divide evenly into 55200 are the factors of 55200 .

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

55200 ÷ 1 = 55200
55200 ÷ 2 = 27600
55200 ÷ 3 = 18400
55200 ÷ 4 = 13800
55200 ÷ 5 = 11040
55200 ÷ 6 = 9200
55200 ÷ 8 = 6900
55200 ÷ 10 = 5520
55200 ÷ 12 = 4600
55200 ÷ 15 = 3680
55200 ÷ 16 = 3450
55200 ÷ 20 = 2760
55200 ÷ 23 = 2400
55200 ÷ 24 = 2300
55200 ÷ 25 = 2208
55200 ÷ 30 = 1840
55200 ÷ 32 = 1725
55200 ÷ 40 = 1380
55200 ÷ 46 = 1200
55200 ÷ 48 = 1150
55200 ÷ 50 = 1104
55200 ÷ 60 = 920
55200 ÷ 69 = 800
55200 ÷ 75 = 736
55200 ÷ 80 = 690
55200 ÷ 92 = 600
55200 ÷ 96 = 575
55200 ÷ 100 = 552
55200 ÷ 115 = 480
55200 ÷ 120 = 460
55200 ÷ 138 = 400
55200 ÷ 150 = 368
55200 ÷ 160 = 345
55200 ÷ 184 = 300
55200 ÷ 200 = 276
55200 ÷ 230 = 240
55200 ÷ 240 = 230
55200 ÷ 276 = 200
55200 ÷ 300 = 184
55200 ÷ 345 = 160
55200 ÷ 368 = 150
55200 ÷ 400 = 138
55200 ÷ 460 = 120
55200 ÷ 480 = 115
55200 ÷ 552 = 100
55200 ÷ 575 = 96
55200 ÷ 600 = 92
55200 ÷ 690 = 80
55200 ÷ 736 = 75
55200 ÷ 800 = 69
55200 ÷ 920 = 60
55200 ÷ 1104 = 50
55200 ÷ 1150 = 48
55200 ÷ 1200 = 46
55200 ÷ 1380 = 40
55200 ÷ 1725 = 32
55200 ÷ 1840 = 30
55200 ÷ 2208 = 25
55200 ÷ 2300 = 24
55200 ÷ 2400 = 23
55200 ÷ 2760 = 20
55200 ÷ 3450 = 16
55200 ÷ 3680 = 15
55200 ÷ 4600 = 12
55200 ÷ 5520 = 10
55200 ÷ 6900 = 8
55200 ÷ 9200 = 6
55200 ÷ 11040 = 5
55200 ÷ 13800 = 4
55200 ÷ 18400 = 3
55200 ÷ 27600 = 2
55200 ÷ 55200 = 1

As you can see, the factors of 55200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 23 , 24 , 25 , 30 , 32 , 40 , 46 , 48 , 50 , 60 , 69 , 75 , 80 , 92 , 96 , 100 , 115 , 120 , 138 , 150 , 160 , 184 , 200 , 230 , 240 , 276 , 300 , 345 , 368 , 400 , 460 , 480 , 552 , 575 , 600 , 690 , 736 , 800 , 920 , 1104 , 1150 , 1200 , 1380 , 1725 , 1840 , 2208 , 2300 , 2400 , 2760 , 3450 , 3680 , 4600 , 5520 , 6900 , 9200 , 11040 , 13800 , 18400 , 27600 and 55200 .

## How many factors of 55200 are there ?

The factors of 55200 are the numbers that can evenly divide 55200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 23 , 24 , 25 , 30 , 32 , 40 , 46 , 48 , 50 , 60 , 69 , 75 , 80 , 92 , 96 , 100 , 115 , 120 , 138 , 150 , 160 , 184 , 200 , 230 , 240 , 276 , 300 , 345 , 368 , 400 , 460 , 480 , 552 , 575 , 600 , 690 , 736 , 800 , 920 , 1104 , 1150 , 1200 , 1380 , 1725 , 1840 , 2208 , 2300 , 2400 , 2760 , 3450 , 3680 , 4600 , 5520 , 6900 , 9200 , 11040 , 13800 , 18400 , 27600 and 55200.

Thus, there are a total of 72 factors of 55200

## What are the factor pairs of 55200 ?

Factor Pairs of 55200 are combinations of two factors that when multiplied together equal 55200. There are many ways to calculate the factor pairs of 55200 .

One easy way is to list out the factors of 55200 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 23 , 24 , 25 , 30 , 32 , 40 , 46 , 48 , 50 , 60 , 69 , 75 , 80 , 92 , 96 , 100 , 115 , 120 , 138 , 150 , 160 , 184 , 200 , 230 , 240 , 276 , 300 , 345 , 368 , 400 , 460 , 480 , 552 , 575 , 600 , 690 , 736 , 800 , 920 , 1104 , 1150 , 1200 , 1380 , 1725 , 1840 , 2208 , 2300 , 2400 , 2760 , 3450 , 3680 , 4600 , 5520 , 6900 , 9200 , 11040 , 13800 , 18400 , 27600 , 55200

Then, pair up the factors:
(1,55200),(2,27600),(3,18400),(4,13800),(5,11040),(6,9200),(8,6900),(10,5520),(12,4600),(15,3680),(16,3450),(20,2760),(23,2400),(24,2300),(25,2208),(30,1840),(32,1725),(40,1380),(46,1200),(48,1150),(50,1104),(60,920),(69,800),(75,736),(80,690),(92,600),(96,575),(100,552),(115,480),(120,460),(138,400),(150,368),(160,345),(184,300),(200,276) and (230,240) These are the factor pairs of 55200 .

## Prime Factorisation of 55200

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 55200 using a factor tree, we would start by writing 55200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 55200 would be 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23.

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 55200 using this method, we keep dividing until it gives a non-zero remainder.

55200 ÷ 2 = 27600
27600 ÷ 2 = 13800
13800 ÷ 2 = 6900
6900 ÷ 2 = 3450
3450 ÷ 2 = 1725
1725 ÷ 3 = 575
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1

So the prime factors of 55200 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 55200 ?

The factors of 55200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 23 , 24 , 25 , 30 , 32 , 40 , 46 , 48 , 50 , 60 , 69 , 75 , 80 , 92 , 96 , 100 , 115 , 120 , 138 , 150 , 160 , 184 , 200 , 230 , 240 , 276 , 300 , 345 , 368 , 400 , 460 , 480 , 552 , 575 , 600 , 690 , 736 , 800 , 920 , 1104 , 1150 , 1200 , 1380 , 1725 , 1840 , 2208 , 2300 , 2400 , 2760 , 3450 , 3680 , 4600 , 5520 , 6900 , 9200 , 11040 , 13800 , 18400 , 27600 and 55200.

### What is the prime factorization of 55200 ?

The prime factorization of 55200 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23 or 25 x 31 x 52 x 231, where 2 , 3 , 5 , 23 are the prime numbers .

### What are the prime factors of 55200 ?

The prime factors of 55200 are 2 , 3 , 5 , 23 .

### Is 55200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
55200 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 23 , 24 , 25 , 30 , 32 , 40 , 46 , 48 , 50 , 60 , 69 , 75 , 80 , 92 , 96 , 100 , 115 , 120 , 138 , 150 , 160 , 184 , 200 , 230 , 240 , 276 , 300 , 345 , 368 , 400 , 460 , 480 , 552 , 575 , 600 , 690 , 736 , 800 , 920 , 1104 , 1150 , 1200 , 1380 , 1725 , 1840 , 2208 , 2300 , 2400 , 2760 , 3450 , 3680 , 4600 , 5520 , 6900 , 9200 , 11040 , 13800 , 18400 , 27600 and 55200.