What are all the factors, the prime factorization, and factor pairs of 384000?

To find the factors of 384000, divide 384000 by each number starting with 1 and working up to 384000

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 384000 ?

To calculate the factors of 384000 , you can use the division method.

   1. Begin by dividing 384000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 384000.

   3. Continue dividing 384000 by larger numbers until you find an odd number that does not divide evenly into 384000 .

   4. The numbers that divide evenly into 384000 are the factors of 384000 .

Now let us find how to calculate all the factors of Three hundred eighty-four thousand :

    384000 ÷ 1 = 384000
    384000 ÷ 2 = 192000
    384000 ÷ 3 = 128000
    384000 ÷ 4 = 96000
    384000 ÷ 5 = 76800
    384000 ÷ 6 = 64000
    384000 ÷ 8 = 48000
    384000 ÷ 10 = 38400
    384000 ÷ 12 = 32000
    384000 ÷ 15 = 25600
    384000 ÷ 16 = 24000
    384000 ÷ 20 = 19200
    384000 ÷ 24 = 16000
    384000 ÷ 25 = 15360
    384000 ÷ 30 = 12800
    384000 ÷ 32 = 12000
    384000 ÷ 40 = 9600
    384000 ÷ 48 = 8000
    384000 ÷ 50 = 7680
    384000 ÷ 60 = 6400
    384000 ÷ 64 = 6000
    384000 ÷ 75 = 5120
    384000 ÷ 80 = 4800
    384000 ÷ 96 = 4000
    384000 ÷ 100 = 3840
    384000 ÷ 120 = 3200
    384000 ÷ 125 = 3072
    384000 ÷ 128 = 3000
    384000 ÷ 150 = 2560
    384000 ÷ 160 = 2400
    384000 ÷ 192 = 2000
    384000 ÷ 200 = 1920
    384000 ÷ 240 = 1600
    384000 ÷ 250 = 1536
    384000 ÷ 256 = 1500
    384000 ÷ 300 = 1280
    384000 ÷ 320 = 1200
    384000 ÷ 375 = 1024
    384000 ÷ 384 = 1000
    384000 ÷ 400 = 960
    384000 ÷ 480 = 800
    384000 ÷ 500 = 768
    384000 ÷ 512 = 750
    384000 ÷ 600 = 640
    384000 ÷ 640 = 600
    384000 ÷ 750 = 512
    384000 ÷ 768 = 500
    384000 ÷ 800 = 480
    384000 ÷ 960 = 400
    384000 ÷ 1000 = 384
    384000 ÷ 1024 = 375
    384000 ÷ 1200 = 320
    384000 ÷ 1280 = 300
    384000 ÷ 1500 = 256
    384000 ÷ 1536 = 250
    384000 ÷ 1600 = 240
    384000 ÷ 1920 = 200
    384000 ÷ 2000 = 192
    384000 ÷ 2400 = 160
    384000 ÷ 2560 = 150
    384000 ÷ 3000 = 128
    384000 ÷ 3072 = 125
    384000 ÷ 3200 = 120
    384000 ÷ 3840 = 100
    384000 ÷ 4000 = 96
    384000 ÷ 4800 = 80
    384000 ÷ 5120 = 75
    384000 ÷ 6000 = 64
    384000 ÷ 6400 = 60
    384000 ÷ 7680 = 50
    384000 ÷ 8000 = 48
    384000 ÷ 9600 = 40
    384000 ÷ 12000 = 32
    384000 ÷ 12800 = 30
    384000 ÷ 15360 = 25
    384000 ÷ 16000 = 24
    384000 ÷ 19200 = 20
    384000 ÷ 24000 = 16
    384000 ÷ 25600 = 15
    384000 ÷ 32000 = 12
    384000 ÷ 38400 = 10
    384000 ÷ 48000 = 8
    384000 ÷ 64000 = 6
    384000 ÷ 76800 = 5
    384000 ÷ 96000 = 4
    384000 ÷ 128000 = 3
    384000 ÷ 192000 = 2
    384000 ÷ 384000 = 1

As you can see, the factors of 384000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 512 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1024 , 1200 , 1280 , 1500 , 1536 , 1600 , 1920 , 2000 , 2400 , 2560 , 3000 , 3072 , 3200 , 3840 , 4000 , 4800 , 5120 , 6000 , 6400 , 7680 , 8000 , 9600 , 12000 , 12800 , 15360 , 16000 , 19200 , 24000 , 25600 , 32000 , 38400 , 48000 , 64000 , 76800 , 96000 , 128000 , 192000 and 384000 .

How to Write Numbers in French Similar to 384000?

How many factors of 384000 are there ?

The factors of 384000 are the numbers that can evenly divide 384000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 512 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1024 , 1200 , 1280 , 1500 , 1536 , 1600 , 1920 , 2000 , 2400 , 2560 , 3000 , 3072 , 3200 , 3840 , 4000 , 4800 , 5120 , 6000 , 6400 , 7680 , 8000 , 9600 , 12000 , 12800 , 15360 , 16000 , 19200 , 24000 , 25600 , 32000 , 38400 , 48000 , 64000 , 76800 , 96000 , 128000 , 192000 and 384000.

Thus, there are a total of 88 factors of 384000

What are the factor pairs of 384000 ?

Factor Pairs of 384000 are combinations of two factors that when multiplied together equal 384000. There are many ways to calculate the factor pairs of 384000 .

One easy way is to list out the factors of 384000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 512 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1024 , 1200 , 1280 , 1500 , 1536 , 1600 , 1920 , 2000 , 2400 , 2560 , 3000 , 3072 , 3200 , 3840 , 4000 , 4800 , 5120 , 6000 , 6400 , 7680 , 8000 , 9600 , 12000 , 12800 , 15360 , 16000 , 19200 , 24000 , 25600 , 32000 , 38400 , 48000 , 64000 , 76800 , 96000 , 128000 , 192000 , 384000

Then, pair up the factors:
   (1,384000),(2,192000),(3,128000),(4,96000),(5,76800),(6,64000),(8,48000),(10,38400),(12,32000),(15,25600),(16,24000),(20,19200),(24,16000),(25,15360),(30,12800),(32,12000),(40,9600),(48,8000),(50,7680),(60,6400),(64,6000),(75,5120),(80,4800),(96,4000),(100,3840),(120,3200),(125,3072),(128,3000),(150,2560),(160,2400),(192,2000),(200,1920),(240,1600),(250,1536),(256,1500),(300,1280),(320,1200),(375,1024),(384,1000),(400,960),(480,800),(500,768),(512,750) and (600,640) These are the factor pairs of 384000 .

Prime Factorisation of 384000

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 384000 using a factor tree, we would start by writing 384000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 384000 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 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 384000 using this method, we keep dividing until it gives a non-zero remainder.

    384000 ÷ 2 = 192000
    192000 ÷ 2 = 96000
    96000 ÷ 2 = 48000
    48000 ÷ 2 = 24000
    24000 ÷ 2 = 12000
    12000 ÷ 2 = 6000
    6000 ÷ 2 = 3000
    3000 ÷ 2 = 1500
    1500 ÷ 2 = 750
    750 ÷ 2 = 375
    375 ÷ 3 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So the prime factors of 384000 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

Frequently Asked Questions on Factors

What are all the factors of 384000 ?

The factors of 384000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 512 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1024 , 1200 , 1280 , 1500 , 1536 , 1600 , 1920 , 2000 , 2400 , 2560 , 3000 , 3072 , 3200 , 3840 , 4000 , 4800 , 5120 , 6000 , 6400 , 7680 , 8000 , 9600 , 12000 , 12800 , 15360 , 16000 , 19200 , 24000 , 25600 , 32000 , 38400 , 48000 , 64000 , 76800 , 96000 , 128000 , 192000 and 384000.

What is the prime factorization of 384000 ?

The prime factorization of 384000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 or 210 x 31 x 53, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 384000 ?

The prime factors of 384000 are 2 , 3 , 5 .

Is 384000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
384000 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 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 512 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1024 , 1200 , 1280 , 1500 , 1536 , 1600 , 1920 , 2000 , 2400 , 2560 , 3000 , 3072 , 3200 , 3840 , 4000 , 4800 , 5120 , 6000 , 6400 , 7680 , 8000 , 9600 , 12000 , 12800 , 15360 , 16000 , 19200 , 24000 , 25600 , 32000 , 38400 , 48000 , 64000 , 76800 , 96000 , 128000 , 192000 and 384000.

Other conversions of the number 384000