# What are all the factors, the prime factorization, and factor pairs of 52200?

To find the factors of 52200, divide 52200 by each number starting with 1 and working up to 52200

## 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 52200 ?

To calculate the factors of 52200 , you can use the division method.

1. Begin by dividing 52200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 52200.

3. Continue dividing 52200 by larger numbers until you find an odd number that does not divide evenly into 52200 .

4. The numbers that divide evenly into 52200 are the factors of 52200 .

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

52200 ÷ 1 = 52200
52200 ÷ 2 = 26100
52200 ÷ 3 = 17400
52200 ÷ 4 = 13050
52200 ÷ 5 = 10440
52200 ÷ 6 = 8700
52200 ÷ 8 = 6525
52200 ÷ 9 = 5800
52200 ÷ 10 = 5220
52200 ÷ 12 = 4350
52200 ÷ 15 = 3480
52200 ÷ 18 = 2900
52200 ÷ 20 = 2610
52200 ÷ 24 = 2175
52200 ÷ 25 = 2088
52200 ÷ 29 = 1800
52200 ÷ 30 = 1740
52200 ÷ 36 = 1450
52200 ÷ 40 = 1305
52200 ÷ 45 = 1160
52200 ÷ 50 = 1044
52200 ÷ 58 = 900
52200 ÷ 60 = 870
52200 ÷ 72 = 725
52200 ÷ 75 = 696
52200 ÷ 87 = 600
52200 ÷ 90 = 580
52200 ÷ 100 = 522
52200 ÷ 116 = 450
52200 ÷ 120 = 435
52200 ÷ 145 = 360
52200 ÷ 150 = 348
52200 ÷ 174 = 300
52200 ÷ 180 = 290
52200 ÷ 200 = 261
52200 ÷ 225 = 232
52200 ÷ 232 = 225
52200 ÷ 261 = 200
52200 ÷ 290 = 180
52200 ÷ 300 = 174
52200 ÷ 348 = 150
52200 ÷ 360 = 145
52200 ÷ 435 = 120
52200 ÷ 450 = 116
52200 ÷ 522 = 100
52200 ÷ 580 = 90
52200 ÷ 600 = 87
52200 ÷ 696 = 75
52200 ÷ 725 = 72
52200 ÷ 870 = 60
52200 ÷ 900 = 58
52200 ÷ 1044 = 50
52200 ÷ 1160 = 45
52200 ÷ 1305 = 40
52200 ÷ 1450 = 36
52200 ÷ 1740 = 30
52200 ÷ 1800 = 29
52200 ÷ 2088 = 25
52200 ÷ 2175 = 24
52200 ÷ 2610 = 20
52200 ÷ 2900 = 18
52200 ÷ 3480 = 15
52200 ÷ 4350 = 12
52200 ÷ 5220 = 10
52200 ÷ 5800 = 9
52200 ÷ 6525 = 8
52200 ÷ 8700 = 6
52200 ÷ 10440 = 5
52200 ÷ 13050 = 4
52200 ÷ 17400 = 3
52200 ÷ 26100 = 2
52200 ÷ 52200 = 1

As you can see, the factors of 52200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 29 , 30 , 36 , 40 , 45 , 50 , 58 , 60 , 72 , 75 , 87 , 90 , 100 , 116 , 120 , 145 , 150 , 174 , 180 , 200 , 225 , 232 , 261 , 290 , 300 , 348 , 360 , 435 , 450 , 522 , 580 , 600 , 696 , 725 , 870 , 900 , 1044 , 1160 , 1305 , 1450 , 1740 , 1800 , 2088 , 2175 , 2610 , 2900 , 3480 , 4350 , 5220 , 5800 , 6525 , 8700 , 10440 , 13050 , 17400 , 26100 and 52200 .

## How many factors of 52200 are there ?

The factors of 52200 are the numbers that can evenly divide 52200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 29 , 30 , 36 , 40 , 45 , 50 , 58 , 60 , 72 , 75 , 87 , 90 , 100 , 116 , 120 , 145 , 150 , 174 , 180 , 200 , 225 , 232 , 261 , 290 , 300 , 348 , 360 , 435 , 450 , 522 , 580 , 600 , 696 , 725 , 870 , 900 , 1044 , 1160 , 1305 , 1450 , 1740 , 1800 , 2088 , 2175 , 2610 , 2900 , 3480 , 4350 , 5220 , 5800 , 6525 , 8700 , 10440 , 13050 , 17400 , 26100 and 52200.

Thus, there are a total of 72 factors of 52200

## What are the factor pairs of 52200 ?

Factor Pairs of 52200 are combinations of two factors that when multiplied together equal 52200. There are many ways to calculate the factor pairs of 52200 .

One easy way is to list out the factors of 52200 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 29 , 30 , 36 , 40 , 45 , 50 , 58 , 60 , 72 , 75 , 87 , 90 , 100 , 116 , 120 , 145 , 150 , 174 , 180 , 200 , 225 , 232 , 261 , 290 , 300 , 348 , 360 , 435 , 450 , 522 , 580 , 600 , 696 , 725 , 870 , 900 , 1044 , 1160 , 1305 , 1450 , 1740 , 1800 , 2088 , 2175 , 2610 , 2900 , 3480 , 4350 , 5220 , 5800 , 6525 , 8700 , 10440 , 13050 , 17400 , 26100 , 52200

Then, pair up the factors:
(1,52200),(2,26100),(3,17400),(4,13050),(5,10440),(6,8700),(8,6525),(9,5800),(10,5220),(12,4350),(15,3480),(18,2900),(20,2610),(24,2175),(25,2088),(29,1800),(30,1740),(36,1450),(40,1305),(45,1160),(50,1044),(58,900),(60,870),(72,725),(75,696),(87,600),(90,580),(100,522),(116,450),(120,435),(145,360),(150,348),(174,300),(180,290),(200,261) and (225,232) These are the factor pairs of 52200 .

## Prime Factorisation of 52200

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 52200 using a factor tree, we would start by writing 52200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 52200 would be 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29.

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 52200 using this method, we keep dividing until it gives a non-zero remainder.

52200 ÷ 2 = 26100
26100 ÷ 2 = 13050
13050 ÷ 2 = 6525
6525 ÷ 3 = 2175
2175 ÷ 3 = 725
725 ÷ 5 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1

So the prime factors of 52200 are 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29.

## Frequently Asked Questions on Factors

### What are all the factors of 52200 ?

The factors of 52200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 29 , 30 , 36 , 40 , 45 , 50 , 58 , 60 , 72 , 75 , 87 , 90 , 100 , 116 , 120 , 145 , 150 , 174 , 180 , 200 , 225 , 232 , 261 , 290 , 300 , 348 , 360 , 435 , 450 , 522 , 580 , 600 , 696 , 725 , 870 , 900 , 1044 , 1160 , 1305 , 1450 , 1740 , 1800 , 2088 , 2175 , 2610 , 2900 , 3480 , 4350 , 5220 , 5800 , 6525 , 8700 , 10440 , 13050 , 17400 , 26100 and 52200.

### What is the prime factorization of 52200 ?

The prime factorization of 52200 is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29 or 23 x 32 x 52 x 291, where 2 , 3 , 5 , 29 are the prime numbers .

### What are the prime factors of 52200 ?

The prime factors of 52200 are 2 , 3 , 5 , 29 .

### Is 52200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
52200 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 29 , 30 , 36 , 40 , 45 , 50 , 58 , 60 , 72 , 75 , 87 , 90 , 100 , 116 , 120 , 145 , 150 , 174 , 180 , 200 , 225 , 232 , 261 , 290 , 300 , 348 , 360 , 435 , 450 , 522 , 580 , 600 , 696 , 725 , 870 , 900 , 1044 , 1160 , 1305 , 1450 , 1740 , 1800 , 2088 , 2175 , 2610 , 2900 , 3480 , 4350 , 5220 , 5800 , 6525 , 8700 , 10440 , 13050 , 17400 , 26100 and 52200.