# What are all the factors, the prime factorization, and factor pairs of 400000?

To find the factors of 400000, divide 400000 by each number starting with 1 and working up to 400000

## 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 400000 ?

To calculate the factors of 400000 , you can use the division method.

1. Begin by dividing 400000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 400000.

3. Continue dividing 400000 by larger numbers until you find an odd number that does not divide evenly into 400000 .

4. The numbers that divide evenly into 400000 are the factors of 400000 .

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

400000 ÷ 1 = 400000
400000 ÷ 2 = 200000
400000 ÷ 4 = 100000
400000 ÷ 5 = 80000
400000 ÷ 8 = 50000
400000 ÷ 10 = 40000
400000 ÷ 16 = 25000
400000 ÷ 20 = 20000
400000 ÷ 25 = 16000
400000 ÷ 32 = 12500
400000 ÷ 40 = 10000
400000 ÷ 50 = 8000
400000 ÷ 64 = 6250
400000 ÷ 80 = 5000
400000 ÷ 100 = 4000
400000 ÷ 125 = 3200
400000 ÷ 128 = 3125
400000 ÷ 160 = 2500
400000 ÷ 200 = 2000
400000 ÷ 250 = 1600
400000 ÷ 320 = 1250
400000 ÷ 400 = 1000
400000 ÷ 500 = 800
400000 ÷ 625 = 640
400000 ÷ 640 = 625
400000 ÷ 800 = 500
400000 ÷ 1000 = 400
400000 ÷ 1250 = 320
400000 ÷ 1600 = 250
400000 ÷ 2000 = 200
400000 ÷ 2500 = 160
400000 ÷ 3125 = 128
400000 ÷ 3200 = 125
400000 ÷ 4000 = 100
400000 ÷ 5000 = 80
400000 ÷ 6250 = 64
400000 ÷ 8000 = 50
400000 ÷ 10000 = 40
400000 ÷ 12500 = 32
400000 ÷ 16000 = 25
400000 ÷ 20000 = 20
400000 ÷ 25000 = 16
400000 ÷ 40000 = 10
400000 ÷ 50000 = 8
400000 ÷ 80000 = 5
400000 ÷ 100000 = 4
400000 ÷ 200000 = 2
400000 ÷ 400000 = 1

As you can see, the factors of 400000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 625 , 640 , 800 , 1000 , 1250 , 1600 , 2000 , 2500 , 3125 , 3200 , 4000 , 5000 , 6250 , 8000 , 10000 , 12500 , 16000 , 20000 , 25000 , 40000 , 50000 , 80000 , 100000 , 200000 and 400000 .

## How many factors of 400000 are there ?

The factors of 400000 are the numbers that can evenly divide 400000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 625 , 640 , 800 , 1000 , 1250 , 1600 , 2000 , 2500 , 3125 , 3200 , 4000 , 5000 , 6250 , 8000 , 10000 , 12500 , 16000 , 20000 , 25000 , 40000 , 50000 , 80000 , 100000 , 200000 and 400000.

Thus, there are a total of 48 factors of 400000

## What are the factor pairs of 400000 ?

Factor Pairs of 400000 are combinations of two factors that when multiplied together equal 400000. There are many ways to calculate the factor pairs of 400000 .

One easy way is to list out the factors of 400000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 625 , 640 , 800 , 1000 , 1250 , 1600 , 2000 , 2500 , 3125 , 3200 , 4000 , 5000 , 6250 , 8000 , 10000 , 12500 , 16000 , 20000 , 25000 , 40000 , 50000 , 80000 , 100000 , 200000 , 400000

Then, pair up the factors:
(1,400000),(2,200000),(4,100000),(5,80000),(8,50000),(10,40000),(16,25000),(20,20000),(25,16000),(32,12500),(40,10000),(50,8000),(64,6250),(80,5000),(100,4000),(125,3200),(128,3125),(160,2500),(200,2000),(250,1600),(320,1250),(400,1000),(500,800) and (625,640) These are the factor pairs of 400000 .

## Prime Factorisation of 400000

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 400000 using a factor tree, we would start by writing 400000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 400000 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 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 400000 using this method, we keep dividing until it gives a non-zero remainder.

400000 ÷ 2 = 200000
200000 ÷ 2 = 100000
100000 ÷ 2 = 50000
50000 ÷ 2 = 25000
25000 ÷ 2 = 12500
12500 ÷ 2 = 6250
6250 ÷ 2 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 400000 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 400000 ?

The factors of 400000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 625 , 640 , 800 , 1000 , 1250 , 1600 , 2000 , 2500 , 3125 , 3200 , 4000 , 5000 , 6250 , 8000 , 10000 , 12500 , 16000 , 20000 , 25000 , 40000 , 50000 , 80000 , 100000 , 200000 and 400000.

### What is the prime factorization of 400000 ?

The prime factorization of 400000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 or 27 x 55, where 2 , 5 are the prime numbers .

### What are the prime factors of 400000 ?

The prime factors of 400000 are 2 , 5 .

### Is 400000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
400000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 64 , 80 , 100 , 125 , 128 , 160 , 200 , 250 , 320 , 400 , 500 , 625 , 640 , 800 , 1000 , 1250 , 1600 , 2000 , 2500 , 3125 , 3200 , 4000 , 5000 , 6250 , 8000 , 10000 , 12500 , 16000 , 20000 , 25000 , 40000 , 50000 , 80000 , 100000 , 200000 and 400000.