# What are all the factors, the prime factorization, and factor pairs of 20000?

To find the factors of 20000, divide 20000 by each number starting with 1 and working up to 20000

## 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 20000 ?

To calculate the factors of 20000 , you can use the division method.

1. Begin by dividing 20000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 20000.

3. Continue dividing 20000 by larger numbers until you find an odd number that does not divide evenly into 20000 .

4. The numbers that divide evenly into 20000 are the factors of 20000 .

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

20000 ÷ 1 = 20000
20000 ÷ 2 = 10000
20000 ÷ 4 = 5000
20000 ÷ 5 = 4000
20000 ÷ 8 = 2500
20000 ÷ 10 = 2000
20000 ÷ 16 = 1250
20000 ÷ 20 = 1000
20000 ÷ 25 = 800
20000 ÷ 32 = 625
20000 ÷ 40 = 500
20000 ÷ 50 = 400
20000 ÷ 80 = 250
20000 ÷ 100 = 200
20000 ÷ 125 = 160
20000 ÷ 160 = 125
20000 ÷ 200 = 100
20000 ÷ 250 = 80
20000 ÷ 400 = 50
20000 ÷ 500 = 40
20000 ÷ 625 = 32
20000 ÷ 800 = 25
20000 ÷ 1000 = 20
20000 ÷ 1250 = 16
20000 ÷ 2000 = 10
20000 ÷ 2500 = 8
20000 ÷ 4000 = 5
20000 ÷ 5000 = 4
20000 ÷ 10000 = 2
20000 ÷ 20000 = 1

As you can see, the factors of 20000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 625 , 800 , 1000 , 1250 , 2000 , 2500 , 4000 , 5000 , 10000 and 20000 .

## How many factors of 20000 are there ?

The factors of 20000 are the numbers that can evenly divide 20000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 625 , 800 , 1000 , 1250 , 2000 , 2500 , 4000 , 5000 , 10000 and 20000.

Thus, there are a total of 30 factors of 20000

## What are the factor pairs of 20000 ?

Factor Pairs of 20000 are combinations of two factors that when multiplied together equal 20000. There are many ways to calculate the factor pairs of 20000 .

One easy way is to list out the factors of 20000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 625 , 800 , 1000 , 1250 , 2000 , 2500 , 4000 , 5000 , 10000 , 20000

Then, pair up the factors:
(1,20000),(2,10000),(4,5000),(5,4000),(8,2500),(10,2000),(16,1250),(20,1000),(25,800),(32,625),(40,500),(50,400),(80,250),(100,200) and (125,160) These are the factor pairs of 20000 .

## Prime Factorisation of 20000

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 20000 using a factor tree, we would start by writing 20000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 20000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 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 20000 using this method, we keep dividing until it gives a non-zero remainder.

20000 ÷ 2 = 10000
10000 ÷ 2 = 5000
5000 ÷ 2 = 2500
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 20000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 20000 ?

The factors of 20000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 625 , 800 , 1000 , 1250 , 2000 , 2500 , 4000 , 5000 , 10000 and 20000.

### What is the prime factorization of 20000 ?

The prime factorization of 20000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 or 25 x 54, where 2 , 5 are the prime numbers .

### What are the prime factors of 20000 ?

The prime factors of 20000 are 2 , 5 .

### Is 20000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
20000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 200 , 250 , 400 , 500 , 625 , 800 , 1000 , 1250 , 2000 , 2500 , 4000 , 5000 , 10000 and 20000.