# What are all the factors, the prime factorization, and factor pairs of 438000?

To find the factors of 438000, divide 438000 by each number starting with 1 and working up to 438000

## 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 438000 ?

To calculate the factors of 438000 , you can use the division method.

1. Begin by dividing 438000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 438000.

3. Continue dividing 438000 by larger numbers until you find an odd number that does not divide evenly into 438000 .

4. The numbers that divide evenly into 438000 are the factors of 438000 .

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

438000 ÷ 1 = 438000
438000 ÷ 2 = 219000
438000 ÷ 3 = 146000
438000 ÷ 4 = 109500
438000 ÷ 5 = 87600
438000 ÷ 6 = 73000
438000 ÷ 8 = 54750
438000 ÷ 10 = 43800
438000 ÷ 12 = 36500
438000 ÷ 15 = 29200
438000 ÷ 16 = 27375
438000 ÷ 20 = 21900
438000 ÷ 24 = 18250
438000 ÷ 25 = 17520
438000 ÷ 30 = 14600
438000 ÷ 40 = 10950
438000 ÷ 48 = 9125
438000 ÷ 50 = 8760
438000 ÷ 60 = 7300
438000 ÷ 73 = 6000
438000 ÷ 75 = 5840
438000 ÷ 80 = 5475
438000 ÷ 100 = 4380
438000 ÷ 120 = 3650
438000 ÷ 125 = 3504
438000 ÷ 146 = 3000
438000 ÷ 150 = 2920
438000 ÷ 200 = 2190
438000 ÷ 219 = 2000
438000 ÷ 240 = 1825
438000 ÷ 250 = 1752
438000 ÷ 292 = 1500
438000 ÷ 300 = 1460
438000 ÷ 365 = 1200
438000 ÷ 375 = 1168
438000 ÷ 400 = 1095
438000 ÷ 438 = 1000
438000 ÷ 500 = 876
438000 ÷ 584 = 750
438000 ÷ 600 = 730
438000 ÷ 730 = 600
438000 ÷ 750 = 584
438000 ÷ 876 = 500
438000 ÷ 1000 = 438
438000 ÷ 1095 = 400
438000 ÷ 1168 = 375
438000 ÷ 1200 = 365
438000 ÷ 1460 = 300
438000 ÷ 1500 = 292
438000 ÷ 1752 = 250
438000 ÷ 1825 = 240
438000 ÷ 2000 = 219
438000 ÷ 2190 = 200
438000 ÷ 2920 = 150
438000 ÷ 3000 = 146
438000 ÷ 3504 = 125
438000 ÷ 3650 = 120
438000 ÷ 4380 = 100
438000 ÷ 5475 = 80
438000 ÷ 5840 = 75
438000 ÷ 6000 = 73
438000 ÷ 7300 = 60
438000 ÷ 8760 = 50
438000 ÷ 9125 = 48
438000 ÷ 10950 = 40
438000 ÷ 14600 = 30
438000 ÷ 17520 = 25
438000 ÷ 18250 = 24
438000 ÷ 21900 = 20
438000 ÷ 27375 = 16
438000 ÷ 29200 = 15
438000 ÷ 36500 = 12
438000 ÷ 43800 = 10
438000 ÷ 54750 = 8
438000 ÷ 73000 = 6
438000 ÷ 87600 = 5
438000 ÷ 109500 = 4
438000 ÷ 146000 = 3
438000 ÷ 219000 = 2
438000 ÷ 438000 = 1

As you can see, the factors of 438000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 73 , 75 , 80 , 100 , 120 , 125 , 146 , 150 , 200 , 219 , 240 , 250 , 292 , 300 , 365 , 375 , 400 , 438 , 500 , 584 , 600 , 730 , 750 , 876 , 1000 , 1095 , 1168 , 1200 , 1460 , 1500 , 1752 , 1825 , 2000 , 2190 , 2920 , 3000 , 3504 , 3650 , 4380 , 5475 , 5840 , 6000 , 7300 , 8760 , 9125 , 10950 , 14600 , 17520 , 18250 , 21900 , 27375 , 29200 , 36500 , 43800 , 54750 , 73000 , 87600 , 109500 , 146000 , 219000 and 438000 .

## How many factors of 438000 are there ?

The factors of 438000 are the numbers that can evenly divide 438000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 73 , 75 , 80 , 100 , 120 , 125 , 146 , 150 , 200 , 219 , 240 , 250 , 292 , 300 , 365 , 375 , 400 , 438 , 500 , 584 , 600 , 730 , 750 , 876 , 1000 , 1095 , 1168 , 1200 , 1460 , 1500 , 1752 , 1825 , 2000 , 2190 , 2920 , 3000 , 3504 , 3650 , 4380 , 5475 , 5840 , 6000 , 7300 , 8760 , 9125 , 10950 , 14600 , 17520 , 18250 , 21900 , 27375 , 29200 , 36500 , 43800 , 54750 , 73000 , 87600 , 109500 , 146000 , 219000 and 438000.

Thus, there are a total of 80 factors of 438000

## What are the factor pairs of 438000 ?

Factor Pairs of 438000 are combinations of two factors that when multiplied together equal 438000. There are many ways to calculate the factor pairs of 438000 .

One easy way is to list out the factors of 438000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 73 , 75 , 80 , 100 , 120 , 125 , 146 , 150 , 200 , 219 , 240 , 250 , 292 , 300 , 365 , 375 , 400 , 438 , 500 , 584 , 600 , 730 , 750 , 876 , 1000 , 1095 , 1168 , 1200 , 1460 , 1500 , 1752 , 1825 , 2000 , 2190 , 2920 , 3000 , 3504 , 3650 , 4380 , 5475 , 5840 , 6000 , 7300 , 8760 , 9125 , 10950 , 14600 , 17520 , 18250 , 21900 , 27375 , 29200 , 36500 , 43800 , 54750 , 73000 , 87600 , 109500 , 146000 , 219000 , 438000

Then, pair up the factors:
(1,438000),(2,219000),(3,146000),(4,109500),(5,87600),(6,73000),(8,54750),(10,43800),(12,36500),(15,29200),(16,27375),(20,21900),(24,18250),(25,17520),(30,14600),(40,10950),(48,9125),(50,8760),(60,7300),(73,6000),(75,5840),(80,5475),(100,4380),(120,3650),(125,3504),(146,3000),(150,2920),(200,2190),(219,2000),(240,1825),(250,1752),(292,1500),(300,1460),(365,1200),(375,1168),(400,1095),(438,1000),(500,876),(584,750) and (600,730) These are the factor pairs of 438000 .

## Prime Factorisation of 438000

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 438000 using a factor tree, we would start by writing 438000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 438000 would be 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 73.

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 438000 using this method, we keep dividing until it gives a non-zero remainder.

438000 ÷ 2 = 219000
219000 ÷ 2 = 109500
109500 ÷ 2 = 54750
54750 ÷ 2 = 27375
27375 ÷ 3 = 9125
9125 ÷ 5 = 1825
1825 ÷ 5 = 365
365 ÷ 5 = 73
73 ÷ 73 = 1

So the prime factors of 438000 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 73.

## Frequently Asked Questions on Factors

### What are all the factors of 438000 ?

The factors of 438000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 73 , 75 , 80 , 100 , 120 , 125 , 146 , 150 , 200 , 219 , 240 , 250 , 292 , 300 , 365 , 375 , 400 , 438 , 500 , 584 , 600 , 730 , 750 , 876 , 1000 , 1095 , 1168 , 1200 , 1460 , 1500 , 1752 , 1825 , 2000 , 2190 , 2920 , 3000 , 3504 , 3650 , 4380 , 5475 , 5840 , 6000 , 7300 , 8760 , 9125 , 10950 , 14600 , 17520 , 18250 , 21900 , 27375 , 29200 , 36500 , 43800 , 54750 , 73000 , 87600 , 109500 , 146000 , 219000 and 438000.

### What is the prime factorization of 438000 ?

The prime factorization of 438000 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 73 or 24 x 31 x 53 x 731, where 2 , 3 , 5 , 73 are the prime numbers .

### What are the prime factors of 438000 ?

The prime factors of 438000 are 2 , 3 , 5 , 73 .

### Is 438000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
438000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 73 , 75 , 80 , 100 , 120 , 125 , 146 , 150 , 200 , 219 , 240 , 250 , 292 , 300 , 365 , 375 , 400 , 438 , 500 , 584 , 600 , 730 , 750 , 876 , 1000 , 1095 , 1168 , 1200 , 1460 , 1500 , 1752 , 1825 , 2000 , 2190 , 2920 , 3000 , 3504 , 3650 , 4380 , 5475 , 5840 , 6000 , 7300 , 8760 , 9125 , 10950 , 14600 , 17520 , 18250 , 21900 , 27375 , 29200 , 36500 , 43800 , 54750 , 73000 , 87600 , 109500 , 146000 , 219000 and 438000.