# What are all the factors, the prime factorization, and factor pairs of 20700?

To find the factors of 20700, divide 20700 by each number starting with 1 and working up to 20700

## 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 20700 ?

To calculate the factors of 20700 , you can use the division method.

1. Begin by dividing 20700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 20700.

3. Continue dividing 20700 by larger numbers until you find an odd number that does not divide evenly into 20700 .

4. The numbers that divide evenly into 20700 are the factors of 20700 .

Now let us find how to calculate all the factors of Twenty thousand seven hundred :

20700 ÷ 1 = 20700
20700 ÷ 2 = 10350
20700 ÷ 3 = 6900
20700 ÷ 4 = 5175
20700 ÷ 5 = 4140
20700 ÷ 6 = 3450
20700 ÷ 9 = 2300
20700 ÷ 10 = 2070
20700 ÷ 12 = 1725
20700 ÷ 15 = 1380
20700 ÷ 18 = 1150
20700 ÷ 20 = 1035
20700 ÷ 23 = 900
20700 ÷ 25 = 828
20700 ÷ 30 = 690
20700 ÷ 36 = 575
20700 ÷ 45 = 460
20700 ÷ 46 = 450
20700 ÷ 50 = 414
20700 ÷ 60 = 345
20700 ÷ 69 = 300
20700 ÷ 75 = 276
20700 ÷ 90 = 230
20700 ÷ 92 = 225
20700 ÷ 100 = 207
20700 ÷ 115 = 180
20700 ÷ 138 = 150
20700 ÷ 150 = 138
20700 ÷ 180 = 115
20700 ÷ 207 = 100
20700 ÷ 225 = 92
20700 ÷ 230 = 90
20700 ÷ 276 = 75
20700 ÷ 300 = 69
20700 ÷ 345 = 60
20700 ÷ 414 = 50
20700 ÷ 450 = 46
20700 ÷ 460 = 45
20700 ÷ 575 = 36
20700 ÷ 690 = 30
20700 ÷ 828 = 25
20700 ÷ 900 = 23
20700 ÷ 1035 = 20
20700 ÷ 1150 = 18
20700 ÷ 1380 = 15
20700 ÷ 1725 = 12
20700 ÷ 2070 = 10
20700 ÷ 2300 = 9
20700 ÷ 3450 = 6
20700 ÷ 4140 = 5
20700 ÷ 5175 = 4
20700 ÷ 6900 = 3
20700 ÷ 10350 = 2
20700 ÷ 20700 = 1

As you can see, the factors of 20700 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 23 , 25 , 30 , 36 , 45 , 46 , 50 , 60 , 69 , 75 , 90 , 92 , 100 , 115 , 138 , 150 , 180 , 207 , 225 , 230 , 276 , 300 , 345 , 414 , 450 , 460 , 575 , 690 , 828 , 900 , 1035 , 1150 , 1380 , 1725 , 2070 , 2300 , 3450 , 4140 , 5175 , 6900 , 10350 and 20700 .

## How many factors of 20700 are there ?

The factors of 20700 are the numbers that can evenly divide 20700 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 23 , 25 , 30 , 36 , 45 , 46 , 50 , 60 , 69 , 75 , 90 , 92 , 100 , 115 , 138 , 150 , 180 , 207 , 225 , 230 , 276 , 300 , 345 , 414 , 450 , 460 , 575 , 690 , 828 , 900 , 1035 , 1150 , 1380 , 1725 , 2070 , 2300 , 3450 , 4140 , 5175 , 6900 , 10350 and 20700.

Thus, there are a total of 54 factors of 20700

## What are the factor pairs of 20700 ?

Factor Pairs of 20700 are combinations of two factors that when multiplied together equal 20700. There are many ways to calculate the factor pairs of 20700 .

One easy way is to list out the factors of 20700 :
1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 23 , 25 , 30 , 36 , 45 , 46 , 50 , 60 , 69 , 75 , 90 , 92 , 100 , 115 , 138 , 150 , 180 , 207 , 225 , 230 , 276 , 300 , 345 , 414 , 450 , 460 , 575 , 690 , 828 , 900 , 1035 , 1150 , 1380 , 1725 , 2070 , 2300 , 3450 , 4140 , 5175 , 6900 , 10350 , 20700

Then, pair up the factors:
(1,20700),(2,10350),(3,6900),(4,5175),(5,4140),(6,3450),(9,2300),(10,2070),(12,1725),(15,1380),(18,1150),(20,1035),(23,900),(25,828),(30,690),(36,575),(45,460),(46,450),(50,414),(60,345),(69,300),(75,276),(90,230),(92,225),(100,207),(115,180) and (138,150) These are the factor pairs of 20700 .

## Prime Factorisation of 20700

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 20700 using a factor tree, we would start by writing 20700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 20700 would be 2 x 2 x 3 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 20700 using this method, we keep dividing until it gives a non-zero remainder.

20700 ÷ 2 = 10350
10350 ÷ 2 = 5175
5175 ÷ 3 = 1725
1725 ÷ 3 = 575
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1

So the prime factors of 20700 are 2 x 2 x 3 x 3 x 5 x 5 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 20700 ?

The factors of 20700 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 23 , 25 , 30 , 36 , 45 , 46 , 50 , 60 , 69 , 75 , 90 , 92 , 100 , 115 , 138 , 150 , 180 , 207 , 225 , 230 , 276 , 300 , 345 , 414 , 450 , 460 , 575 , 690 , 828 , 900 , 1035 , 1150 , 1380 , 1725 , 2070 , 2300 , 3450 , 4140 , 5175 , 6900 , 10350 and 20700.

### What is the prime factorization of 20700 ?

The prime factorization of 20700 is 2 x 2 x 3 x 3 x 5 x 5 x 23 or 22 x 32 x 52 x 231, where 2 , 3 , 5 , 23 are the prime numbers .

### What are the prime factors of 20700 ?

The prime factors of 20700 are 2 , 3 , 5 , 23 .

### Is 20700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
20700 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 23 , 25 , 30 , 36 , 45 , 46 , 50 , 60 , 69 , 75 , 90 , 92 , 100 , 115 , 138 , 150 , 180 , 207 , 225 , 230 , 276 , 300 , 345 , 414 , 450 , 460 , 575 , 690 , 828 , 900 , 1035 , 1150 , 1380 , 1725 , 2070 , 2300 , 3450 , 4140 , 5175 , 6900 , 10350 and 20700.