What are all the factors, the prime factorization, and factor pairs of 324000?

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.

To calculate the factors of 324000 , you can use the division method.

   1. Begin by dividing 324000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 324000.

   3. Continue dividing 324000 by larger numbers until you find an odd number that does not divide evenly into 324000 .

   4. The numbers that divide evenly into 324000 are the factors of 324000 .

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

    324000 ÷ 1 = 324000
    324000 ÷ 2 = 162000
    324000 ÷ 3 = 108000
    324000 ÷ 4 = 81000
    324000 ÷ 5 = 64800
    324000 ÷ 6 = 54000
    324000 ÷ 8 = 40500
    324000 ÷ 9 = 36000
    324000 ÷ 10 = 32400
    324000 ÷ 12 = 27000
    324000 ÷ 15 = 21600
    324000 ÷ 16 = 20250
    324000 ÷ 18 = 18000
    324000 ÷ 20 = 16200
    324000 ÷ 24 = 13500
    324000 ÷ 25 = 12960
    324000 ÷ 27 = 12000
    324000 ÷ 30 = 10800
    324000 ÷ 32 = 10125
    324000 ÷ 36 = 9000
    324000 ÷ 40 = 8100
    324000 ÷ 45 = 7200
    324000 ÷ 48 = 6750
    324000 ÷ 50 = 6480
    324000 ÷ 54 = 6000
    324000 ÷ 60 = 5400
    324000 ÷ 72 = 4500
    324000 ÷ 75 = 4320
    324000 ÷ 80 = 4050
    324000 ÷ 81 = 4000
    324000 ÷ 90 = 3600
    324000 ÷ 96 = 3375
    324000 ÷ 100 = 3240
    324000 ÷ 108 = 3000
    324000 ÷ 120 = 2700
    324000 ÷ 125 = 2592
    324000 ÷ 135 = 2400
    324000 ÷ 144 = 2250
    324000 ÷ 150 = 2160
    324000 ÷ 160 = 2025
    324000 ÷ 162 = 2000
    324000 ÷ 180 = 1800
    324000 ÷ 200 = 1620
    324000 ÷ 216 = 1500
    324000 ÷ 225 = 1440
    324000 ÷ 240 = 1350
    324000 ÷ 250 = 1296
    324000 ÷ 270 = 1200
    324000 ÷ 288 = 1125
    324000 ÷ 300 = 1080
    324000 ÷ 324 = 1000
    324000 ÷ 360 = 900
    324000 ÷ 375 = 864
    324000 ÷ 400 = 810
    324000 ÷ 405 = 800
    324000 ÷ 432 = 750
    324000 ÷ 450 = 720
    324000 ÷ 480 = 675
    324000 ÷ 500 = 648
    324000 ÷ 540 = 600
    324000 ÷ 600 = 540
    324000 ÷ 648 = 500
    324000 ÷ 675 = 480
    324000 ÷ 720 = 450
    324000 ÷ 750 = 432
    324000 ÷ 800 = 405
    324000 ÷ 810 = 400
    324000 ÷ 864 = 375
    324000 ÷ 900 = 360
    324000 ÷ 1000 = 324
    324000 ÷ 1080 = 300
    324000 ÷ 1125 = 288
    324000 ÷ 1200 = 270
    324000 ÷ 1296 = 250
    324000 ÷ 1350 = 240
    324000 ÷ 1440 = 225
    324000 ÷ 1500 = 216
    324000 ÷ 1620 = 200
    324000 ÷ 1800 = 180
    324000 ÷ 2000 = 162
    324000 ÷ 2025 = 160
    324000 ÷ 2160 = 150
    324000 ÷ 2250 = 144
    324000 ÷ 2400 = 135
    324000 ÷ 2592 = 125
    324000 ÷ 2700 = 120
    324000 ÷ 3000 = 108
    324000 ÷ 3240 = 100
    324000 ÷ 3375 = 96
    324000 ÷ 3600 = 90
    324000 ÷ 4000 = 81
    324000 ÷ 4050 = 80
    324000 ÷ 4320 = 75
    324000 ÷ 4500 = 72
    324000 ÷ 5400 = 60
    324000 ÷ 6000 = 54
    324000 ÷ 6480 = 50
    324000 ÷ 6750 = 48
    324000 ÷ 7200 = 45
    324000 ÷ 8100 = 40
    324000 ÷ 9000 = 36
    324000 ÷ 10125 = 32
    324000 ÷ 10800 = 30
    324000 ÷ 12000 = 27
    324000 ÷ 12960 = 25
    324000 ÷ 13500 = 24
    324000 ÷ 16200 = 20
    324000 ÷ 18000 = 18
    324000 ÷ 20250 = 16
    324000 ÷ 21600 = 15
    324000 ÷ 27000 = 12
    324000 ÷ 32400 = 10
    324000 ÷ 36000 = 9
    324000 ÷ 40500 = 8
    324000 ÷ 54000 = 6
    324000 ÷ 64800 = 5
    324000 ÷ 81000 = 4
    324000 ÷ 108000 = 3
    324000 ÷ 162000 = 2
    324000 ÷ 324000 = 1

As you can see, the factors of 324000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 81 , 90 , 96 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 160 , 162 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 288 , 300 , 324 , 360 , 375 , 400 , 405 , 432 , 450 , 480 , 500 , 540 , 600 , 648 , 675 , 720 , 750 , 800 , 810 , 864 , 900 , 1000 , 1080 , 1125 , 1200 , 1296 , 1350 , 1440 , 1500 , 1620 , 1800 , 2000 , 2025 , 2160 , 2250 , 2400 , 2592 , 2700 , 3000 , 3240 , 3375 , 3600 , 4000 , 4050 , 4320 , 4500 , 5400 , 6000 , 6480 , 6750 , 7200 , 8100 , 9000 , 10125 , 10800 , 12000 , 12960 , 13500 , 16200 , 18000 , 20250 , 21600 , 27000 , 32400 , 36000 , 40500 , 54000 , 64800 , 81000 , 108000 , 162000 and 324000 .

The factors of 324000 are the numbers that can evenly divide 324000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 81 , 90 , 96 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 160 , 162 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 288 , 300 , 324 , 360 , 375 , 400 , 405 , 432 , 450 , 480 , 500 , 540 , 600 , 648 , 675 , 720 , 750 , 800 , 810 , 864 , 900 , 1000 , 1080 , 1125 , 1200 , 1296 , 1350 , 1440 , 1500 , 1620 , 1800 , 2000 , 2025 , 2160 , 2250 , 2400 , 2592 , 2700 , 3000 , 3240 , 3375 , 3600 , 4000 , 4050 , 4320 , 4500 , 5400 , 6000 , 6480 , 6750 , 7200 , 8100 , 9000 , 10125 , 10800 , 12000 , 12960 , 13500 , 16200 , 18000 , 20250 , 21600 , 27000 , 32400 , 36000 , 40500 , 54000 , 64800 , 81000 , 108000 , 162000 and 324000.

Thus, there are a total of 120 factors of 324000

Factor Pairs of 324000 are combinations of two factors that when multiplied together equal 324000. There are many ways to calculate the factor pairs of 324000 .

One easy way is to list out the factors of 324000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 27 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 54 , 60 , 72 , 75 , 80 , 81 , 90 , 96 , 100 , 108 , 120 , 125 , 135 , 144 , 150 , 160 , 162 , 180 , 200 , 216 , 225 , 240 , 250 , 270 , 288 , 300 , 324 , 360 , 375 , 400 , 405 , 432 , 450 , 480 , 500 , 540 , 600 , 648 , 675 , 720 , 750 , 800 , 810 , 864 , 900 , 1000 , 1080 , 1125 , 1200 , 1296 , 1350 , 1440 , 1500 , 1620 , 1800 , 2000 , 2025 , 2160 , 2250 , 2400 , 2592 , 2700 , 3000 , 3240 , 3375 , 3600 , 4000 , 4050 , 4320 , 4500 , 5400 , 6000 , 6480 , 6750 , 7200 , 8100 , 9000 , 10125 , 10800 , 12000 , 12960 , 13500 , 16200 , 18000 , 20250 , 21600 , 27000 , 32400 , 36000 , 40500 , 54000 , 64800 , 81000 , 108000 , 162000 , 324000

Then, pair up the factors:
   (1,324000),(2,162000),(3,108000),(4,81000),(5,64800),(6,54000),(8,40500),(9,36000),(10,32400),(12,27000),(15,21600),(16,20250),(18,18000),(20,16200),(24,13500),(25,12960),(27,12000),(30,10800),(32,10125),(36,9000),(40,8100),(45,7200),(48,6750),(50,6480),(54,6000),(60,5400),(72,4500),(75,4320),(80,4050),(81,4000),(90,3600),(96,3375),(100,3240),(108,3000),(120,2700),(125,2592),(135,2400),(144,2250),(150,2160),(160,2025),(162,2000),(180,1800),(200,1620),(216,1500),(225,1440),(240,1350),(250,1296),(270,1200),(288,1125),(300,1080),(324,1000),(360,900),(375,864),(400,810),(405,800),(432,750),(450,720),(480,675),(500,648) and (540,600) These are the factor pairs of 324000 .

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 324000 using a factor tree, we would start by writing 324000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 324000 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 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 324000 using this method, we keep dividing until it gives a non-zero remainder.

    324000 ÷ 2 = 162000
    162000 ÷ 2 = 81000
    81000 ÷ 2 = 40500
    40500 ÷ 2 = 20250
    20250 ÷ 2 = 10125
    10125 ÷ 3 = 3375
    3375 ÷ 3 = 1125
    1125 ÷ 3 = 375
    375 ÷ 3 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So the prime factors of 324000 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5.

324000 in French

324000 in English