# What are all the factors, the prime factorization, and factor pairs of 21200?

To find the factors of 21200, divide 21200 by each number starting with 1 and working up to 21200

## 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 21200 ?

To calculate the factors of 21200 , you can use the division method.

1. Begin by dividing 21200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 21200.

3. Continue dividing 21200 by larger numbers until you find an odd number that does not divide evenly into 21200 .

4. The numbers that divide evenly into 21200 are the factors of 21200 .

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

21200 ÷ 1 = 21200
21200 ÷ 2 = 10600
21200 ÷ 4 = 5300
21200 ÷ 5 = 4240
21200 ÷ 8 = 2650
21200 ÷ 10 = 2120
21200 ÷ 16 = 1325
21200 ÷ 20 = 1060
21200 ÷ 25 = 848
21200 ÷ 40 = 530
21200 ÷ 50 = 424
21200 ÷ 53 = 400
21200 ÷ 80 = 265
21200 ÷ 100 = 212
21200 ÷ 106 = 200
21200 ÷ 200 = 106
21200 ÷ 212 = 100
21200 ÷ 265 = 80
21200 ÷ 400 = 53
21200 ÷ 424 = 50
21200 ÷ 530 = 40
21200 ÷ 848 = 25
21200 ÷ 1060 = 20
21200 ÷ 1325 = 16
21200 ÷ 2120 = 10
21200 ÷ 2650 = 8
21200 ÷ 4240 = 5
21200 ÷ 5300 = 4
21200 ÷ 10600 = 2
21200 ÷ 21200 = 1

As you can see, the factors of 21200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 53 , 80 , 100 , 106 , 200 , 212 , 265 , 400 , 424 , 530 , 848 , 1060 , 1325 , 2120 , 2650 , 4240 , 5300 , 10600 and 21200 .

## How many factors of 21200 are there ?

The factors of 21200 are the numbers that can evenly divide 21200 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 53 , 80 , 100 , 106 , 200 , 212 , 265 , 400 , 424 , 530 , 848 , 1060 , 1325 , 2120 , 2650 , 4240 , 5300 , 10600 and 21200.

Thus, there are a total of 30 factors of 21200

## What are the factor pairs of 21200 ?

Factor Pairs of 21200 are combinations of two factors that when multiplied together equal 21200. There are many ways to calculate the factor pairs of 21200 .

One easy way is to list out the factors of 21200 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 53 , 80 , 100 , 106 , 200 , 212 , 265 , 400 , 424 , 530 , 848 , 1060 , 1325 , 2120 , 2650 , 4240 , 5300 , 10600 , 21200

Then, pair up the factors:
(1,21200),(2,10600),(4,5300),(5,4240),(8,2650),(10,2120),(16,1325),(20,1060),(25,848),(40,530),(50,424),(53,400),(80,265),(100,212) and (106,200) These are the factor pairs of 21200 .

## Prime Factorisation of 21200

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 21200 using a factor tree, we would start by writing 21200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 21200 would be 2 x 2 x 2 x 2 x 5 x 5 x 53.

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 21200 using this method, we keep dividing until it gives a non-zero remainder.

21200 ÷ 2 = 10600
10600 ÷ 2 = 5300
5300 ÷ 2 = 2650
2650 ÷ 2 = 1325
1325 ÷ 5 = 265
265 ÷ 5 = 53
53 ÷ 53 = 1

So the prime factors of 21200 are 2 x 2 x 2 x 2 x 5 x 5 x 53.

## Frequently Asked Questions on Factors

### What are all the factors of 21200 ?

The factors of 21200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 53 , 80 , 100 , 106 , 200 , 212 , 265 , 400 , 424 , 530 , 848 , 1060 , 1325 , 2120 , 2650 , 4240 , 5300 , 10600 and 21200.

### What is the prime factorization of 21200 ?

The prime factorization of 21200 is 2 x 2 x 2 x 2 x 5 x 5 x 53 or 24 x 52 x 531, where 2 , 5 , 53 are the prime numbers .

### What are the prime factors of 21200 ?

The prime factors of 21200 are 2 , 5 , 53 .

### Is 21200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
21200 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 53 , 80 , 100 , 106 , 200 , 212 , 265 , 400 , 424 , 530 , 848 , 1060 , 1325 , 2120 , 2650 , 4240 , 5300 , 10600 and 21200.