# What are all the factors, the prime factorization, and factor pairs of 4000?

To find the factors of 4000, divide 4000 by each number starting with 1 and working up to 4000

## 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 4000 ?

To calculate the factors of 4000 , you can use the division method.

1. Begin by dividing 4000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 4000.

3. Continue dividing 4000 by larger numbers until you find an odd number that does not divide evenly into 4000 .

4. The numbers that divide evenly into 4000 are the factors of 4000 .

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

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

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

## How many factors of 4000 are there ?

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

Thus, there are a total of 24 factors of 4000

## What are the factor pairs of 4000 ?

Factor Pairs of 4000 are combinations of two factors that when multiplied together equal 4000. There are many ways to calculate the factor pairs of 4000 .

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

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

## Prime Factorisation of 4000

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 4000 using a factor tree, we would start by writing 4000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 4000 would be 2 x 2 x 2 x 2 x 2 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 4000 using this method, we keep dividing until it gives a non-zero remainder.

4000 ÷ 2 = 2000
2000 ÷ 2 = 1000
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 4000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 4000 ?

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

### What is the prime factorization of 4000 ?

The prime factorization of 4000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 or 25 x 53, where 2 , 5 are the prime numbers .

### What are the prime factors of 4000 ?

The prime factors of 4000 are 2 , 5 .

### Is 4000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
4000 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 , 800 , 1000 , 2000 and 4000.