What are all the factors, the prime factorization, and factor pairs of 729000?

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 729000 , you can use the division method.

   1. Begin by dividing 729000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 729000.

   3. Continue dividing 729000 by larger numbers until you find an odd number that does not divide evenly into 729000 .

   4. The numbers that divide evenly into 729000 are the factors of 729000 .

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

    729000 ÷ 1 = 729000
    729000 ÷ 2 = 364500
    729000 ÷ 3 = 243000
    729000 ÷ 4 = 182250
    729000 ÷ 5 = 145800
    729000 ÷ 6 = 121500
    729000 ÷ 8 = 91125
    729000 ÷ 9 = 81000
    729000 ÷ 10 = 72900
    729000 ÷ 12 = 60750
    729000 ÷ 15 = 48600
    729000 ÷ 18 = 40500
    729000 ÷ 20 = 36450
    729000 ÷ 24 = 30375
    729000 ÷ 25 = 29160
    729000 ÷ 27 = 27000
    729000 ÷ 30 = 24300
    729000 ÷ 36 = 20250
    729000 ÷ 40 = 18225
    729000 ÷ 45 = 16200
    729000 ÷ 50 = 14580
    729000 ÷ 54 = 13500
    729000 ÷ 60 = 12150
    729000 ÷ 72 = 10125
    729000 ÷ 75 = 9720
    729000 ÷ 81 = 9000
    729000 ÷ 90 = 8100
    729000 ÷ 100 = 7290
    729000 ÷ 108 = 6750
    729000 ÷ 120 = 6075
    729000 ÷ 125 = 5832
    729000 ÷ 135 = 5400
    729000 ÷ 150 = 4860
    729000 ÷ 162 = 4500
    729000 ÷ 180 = 4050
    729000 ÷ 200 = 3645
    729000 ÷ 216 = 3375
    729000 ÷ 225 = 3240
    729000 ÷ 243 = 3000
    729000 ÷ 250 = 2916
    729000 ÷ 270 = 2700
    729000 ÷ 300 = 2430
    729000 ÷ 324 = 2250
    729000 ÷ 360 = 2025
    729000 ÷ 375 = 1944
    729000 ÷ 405 = 1800
    729000 ÷ 450 = 1620
    729000 ÷ 486 = 1500
    729000 ÷ 500 = 1458
    729000 ÷ 540 = 1350
    729000 ÷ 600 = 1215
    729000 ÷ 648 = 1125
    729000 ÷ 675 = 1080
    729000 ÷ 729 = 1000
    729000 ÷ 750 = 972
    729000 ÷ 810 = 900
    729000 ÷ 900 = 810
    729000 ÷ 972 = 750
    729000 ÷ 1000 = 729
    729000 ÷ 1080 = 675
    729000 ÷ 1125 = 648
    729000 ÷ 1215 = 600
    729000 ÷ 1350 = 540
    729000 ÷ 1458 = 500
    729000 ÷ 1500 = 486
    729000 ÷ 1620 = 450
    729000 ÷ 1800 = 405
    729000 ÷ 1944 = 375
    729000 ÷ 2025 = 360
    729000 ÷ 2250 = 324
    729000 ÷ 2430 = 300
    729000 ÷ 2700 = 270
    729000 ÷ 2916 = 250
    729000 ÷ 3000 = 243
    729000 ÷ 3240 = 225
    729000 ÷ 3375 = 216
    729000 ÷ 3645 = 200
    729000 ÷ 4050 = 180
    729000 ÷ 4500 = 162
    729000 ÷ 4860 = 150
    729000 ÷ 5400 = 135
    729000 ÷ 5832 = 125
    729000 ÷ 6075 = 120
    729000 ÷ 6750 = 108
    729000 ÷ 7290 = 100
    729000 ÷ 8100 = 90
    729000 ÷ 9000 = 81
    729000 ÷ 9720 = 75
    729000 ÷ 10125 = 72
    729000 ÷ 12150 = 60
    729000 ÷ 13500 = 54
    729000 ÷ 14580 = 50
    729000 ÷ 16200 = 45
    729000 ÷ 18225 = 40
    729000 ÷ 20250 = 36
    729000 ÷ 24300 = 30
    729000 ÷ 27000 = 27
    729000 ÷ 29160 = 25
    729000 ÷ 30375 = 24
    729000 ÷ 36450 = 20
    729000 ÷ 40500 = 18
    729000 ÷ 48600 = 15
    729000 ÷ 60750 = 12
    729000 ÷ 72900 = 10
    729000 ÷ 81000 = 9
    729000 ÷ 91125 = 8
    729000 ÷ 121500 = 6
    729000 ÷ 145800 = 5
    729000 ÷ 182250 = 4
    729000 ÷ 243000 = 3
    729000 ÷ 364500 = 2
    729000 ÷ 729000 = 1

As you can see, the factors of 729000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 243 , 250 , 270 , 300 , 324 , 360 , 375 , 405 , 450 , 486 , 500 , 540 , 600 , 648 , 675 , 729 , 750 , 810 , 900 , 972 , 1000 , 1080 , 1125 , 1215 , 1350 , 1458 , 1500 , 1620 , 1800 , 1944 , 2025 , 2250 , 2430 , 2700 , 2916 , 3000 , 3240 , 3375 , 3645 , 4050 , 4500 , 4860 , 5400 , 5832 , 6075 , 6750 , 7290 , 8100 , 9000 , 9720 , 10125 , 12150 , 13500 , 14580 , 16200 , 18225 , 20250 , 24300 , 27000 , 29160 , 30375 , 36450 , 40500 , 48600 , 60750 , 72900 , 81000 , 91125 , 121500 , 145800 , 182250 , 243000 , 364500 and 729000 .

The factors of 729000 are the numbers that can evenly divide 729000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 243 , 250 , 270 , 300 , 324 , 360 , 375 , 405 , 450 , 486 , 500 , 540 , 600 , 648 , 675 , 729 , 750 , 810 , 900 , 972 , 1000 , 1080 , 1125 , 1215 , 1350 , 1458 , 1500 , 1620 , 1800 , 1944 , 2025 , 2250 , 2430 , 2700 , 2916 , 3000 , 3240 , 3375 , 3645 , 4050 , 4500 , 4860 , 5400 , 5832 , 6075 , 6750 , 7290 , 8100 , 9000 , 9720 , 10125 , 12150 , 13500 , 14580 , 16200 , 18225 , 20250 , 24300 , 27000 , 29160 , 30375 , 36450 , 40500 , 48600 , 60750 , 72900 , 81000 , 91125 , 121500 , 145800 , 182250 , 243000 , 364500 and 729000.

Thus, there are a total of 112 factors of 729000

Factor Pairs of 729000 are combinations of two factors that when multiplied together equal 729000. There are many ways to calculate the factor pairs of 729000 .

One easy way is to list out the factors of 729000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 81 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 162 , 180 , 200 , 216 , 225 , 243 , 250 , 270 , 300 , 324 , 360 , 375 , 405 , 450 , 486 , 500 , 540 , 600 , 648 , 675 , 729 , 750 , 810 , 900 , 972 , 1000 , 1080 , 1125 , 1215 , 1350 , 1458 , 1500 , 1620 , 1800 , 1944 , 2025 , 2250 , 2430 , 2700 , 2916 , 3000 , 3240 , 3375 , 3645 , 4050 , 4500 , 4860 , 5400 , 5832 , 6075 , 6750 , 7290 , 8100 , 9000 , 9720 , 10125 , 12150 , 13500 , 14580 , 16200 , 18225 , 20250 , 24300 , 27000 , 29160 , 30375 , 36450 , 40500 , 48600 , 60750 , 72900 , 81000 , 91125 , 121500 , 145800 , 182250 , 243000 , 364500 , 729000

Then, pair up the factors:
   (1,729000),(2,364500),(3,243000),(4,182250),(5,145800),(6,121500),(8,91125),(9,81000),(10,72900),(12,60750),(15,48600),(18,40500),(20,36450),(24,30375),(25,29160),(27,27000),(30,24300),(36,20250),(40,18225),(45,16200),(50,14580),(54,13500),(60,12150),(72,10125),(75,9720),(81,9000),(90,8100),(100,7290),(108,6750),(120,6075),(125,5832),(135,5400),(150,4860),(162,4500),(180,4050),(200,3645),(216,3375),(225,3240),(243,3000),(250,2916),(270,2700),(300,2430),(324,2250),(360,2025),(375,1944),(405,1800),(450,1620),(486,1500),(500,1458),(540,1350),(600,1215),(648,1125),(675,1080),(729,1000),(750,972) and (810,900) These are the factor pairs of 729000 .

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 729000 using a factor tree, we would start by writing 729000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 729000 would be 2 x 2 x 2 x 3 x 3 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 729000 using this method, we keep dividing until it gives a non-zero remainder.

    729000 ÷ 2 = 364500
    364500 ÷ 2 = 182250
    182250 ÷ 2 = 91125
    91125 ÷ 3 = 30375
    30375 ÷ 3 = 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 729000 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5.

729000 in French

729000 in English