# What are all the factors, the prime factorization, and factor pairs of 16200?

To find the factors of 16200, divide 16200 by each number starting with 1 and working up to 16200

## 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 16200 ?

To calculate the factors of 16200 , you can use the division method.

1. Begin by dividing 16200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 16200.

3. Continue dividing 16200 by larger numbers until you find an odd number that does not divide evenly into 16200 .

4. The numbers that divide evenly into 16200 are the factors of 16200 .

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

16200 ÷ 1 = 16200
16200 ÷ 2 = 8100
16200 ÷ 3 = 5400
16200 ÷ 4 = 4050
16200 ÷ 5 = 3240
16200 ÷ 6 = 2700
16200 ÷ 8 = 2025
16200 ÷ 9 = 1800
16200 ÷ 10 = 1620
16200 ÷ 12 = 1350
16200 ÷ 15 = 1080
16200 ÷ 18 = 900
16200 ÷ 20 = 810
16200 ÷ 24 = 675
16200 ÷ 25 = 648
16200 ÷ 27 = 600
16200 ÷ 30 = 540
16200 ÷ 36 = 450
16200 ÷ 40 = 405
16200 ÷ 45 = 360
16200 ÷ 50 = 324
16200 ÷ 54 = 300
16200 ÷ 60 = 270
16200 ÷ 72 = 225
16200 ÷ 75 = 216
16200 ÷ 81 = 200
16200 ÷ 90 = 180
16200 ÷ 100 = 162
16200 ÷ 108 = 150
16200 ÷ 120 = 135
16200 ÷ 135 = 120
16200 ÷ 150 = 108
16200 ÷ 162 = 100
16200 ÷ 180 = 90
16200 ÷ 200 = 81
16200 ÷ 216 = 75
16200 ÷ 225 = 72
16200 ÷ 270 = 60
16200 ÷ 300 = 54
16200 ÷ 324 = 50
16200 ÷ 360 = 45
16200 ÷ 405 = 40
16200 ÷ 450 = 36
16200 ÷ 540 = 30
16200 ÷ 600 = 27
16200 ÷ 648 = 25
16200 ÷ 675 = 24
16200 ÷ 810 = 20
16200 ÷ 900 = 18
16200 ÷ 1080 = 15
16200 ÷ 1350 = 12
16200 ÷ 1620 = 10
16200 ÷ 1800 = 9
16200 ÷ 2025 = 8
16200 ÷ 2700 = 6
16200 ÷ 3240 = 5
16200 ÷ 4050 = 4
16200 ÷ 5400 = 3
16200 ÷ 8100 = 2
16200 ÷ 16200 = 1

As you can see, the factors of 16200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 and 16200 .

## How many factors of 16200 are there ?

The factors of 16200 are the numbers that can evenly divide 16200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 and 16200.

Thus, there are a total of 60 factors of 16200

## What are the factor pairs of 16200 ?

Factor Pairs of 16200 are combinations of two factors that when multiplied together equal 16200. There are many ways to calculate the factor pairs of 16200 .

One easy way is to list out the factors of 16200 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 , 16200

Then, pair up the factors:
(1,16200),(2,8100),(3,5400),(4,4050),(5,3240),(6,2700),(8,2025),(9,1800),(10,1620),(12,1350),(15,1080),(18,900),(20,810),(24,675),(25,648),(27,600),(30,540),(36,450),(40,405),(45,360),(50,324),(54,300),(60,270),(72,225),(75,216),(81,200),(90,180),(100,162),(108,150) and (120,135) These are the factor pairs of 16200 .

## Prime Factorisation of 16200

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 16200 using a factor tree, we would start by writing 16200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 16200 would be 2 x 2 x 2 x 3 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 16200 using this method, we keep dividing until it gives a non-zero remainder.

16200 ÷ 2 = 8100
8100 ÷ 2 = 4050
4050 ÷ 2 = 2025
2025 ÷ 3 = 675
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 16200 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 16200 ?

The factors of 16200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 and 16200.

### What is the prime factorization of 16200 ?

The prime factorization of 16200 is 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 or 23 x 34 x 52, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 16200 ?

The prime factors of 16200 are 2 , 3 , 5 .

### Is 16200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
16200 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 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 270 , 300 , 324 , 360 , 405 , 450 , 540 , 600 , 648 , 675 , 810 , 900 , 1080 , 1350 , 1620 , 1800 , 2025 , 2700 , 3240 , 4050 , 5400 , 8100 and 16200.