The prime factorization of 36000 is 2 5×3 2×5 3.
How many positive integer factors (includes composite and prime) does 36000 have?
36000 has 72 factors.
Here is how the number of factors were calculated:
//In the future enter php code here to demonstrate how to find the number of factors.
The power factor one-dimensional arrays are:
Powers of 2: Array
(
[0] => 1
[1] => 2
[2] => 4
[3] => 8
[4] => 16
[5] => 32
)
Powers of 3: Array
(
[0] => 1
[1] => 3
[2] => 9
)
Powers of 5: Array
(
[0] => 1
[1] => 5
[2] => 25
[3] => 125
)
The 72 composite factors of 36000 are listed in the array below:
Array
(
[0] => Array
(
[0] => Array
(
[0] => 1
[1] => 5
[2] => 25
[3] => 125
)
[1] => Array
(
[0] => 3
[1] => 15
[2] => 75
[3] => 375
)
[2] => Array
(
[0] => 9
[1] => 45
[2] => 225
[3] => 1125
)
)
[1] => Array
(
[0] => Array
(
[0] => 2
[1] => 10
[2] => 50
[3] => 250
)
[1] => Array
(
[0] => 6
[1] => 30
[2] => 150
[3] => 750
)
[2] => Array
(
[0] => 18
[1] => 90
[2] => 450
[3] => 2250
)
)
[2] => Array
(
[0] => Array
(
[0] => 4
[1] => 20
[2] => 100
[3] => 500
)
[1] => Array
(
[0] => 12
[1] => 60
[2] => 300
[3] => 1500
)
[2] => Array
(
[0] => 36
[1] => 180
[2] => 900
[3] => 4500
)
)
[3] => Array
(
[0] => Array
(
[0] => 8
[1] => 40
[2] => 200
[3] => 1000
)
[1] => Array
(
[0] => 24
[1] => 120
[2] => 600
[3] => 3000
)
[2] => Array
(
[0] => 72
[1] => 360
[2] => 1800
[3] => 9000
)
)
[4] => Array
(
[0] => Array
(
[0] => 16
[1] => 80
[2] => 400
[3] => 2000
)
[1] => Array
(
[0] => 48
[1] => 240
[2] => 1200
[3] => 6000
)
[2] => Array
(
[0] => 144
[1] => 720
[2] => 3600
[3] => 18000
)
)
[5] => Array
(
[0] => Array
(
[0] => 32
[1] => 160
[2] => 800
[3] => 4000
)
[1] => Array
(
[0] => 96
[1] => 480
[2] => 2400
[3] => 12000
)
[2] => Array
(
[0] => 288
[1] => 1440
[2] => 7200
[3] => 36000
)
)
)
The composite factors listed in the array above are:
1 5 25 125 3 15 75 375 9 45 225 1125 2 10 50 250 6 30 150 750 18 90 450 2250 4 20 100 500 12 60 300 1500 36 180 900 4500 8 40 200 1000 24 120 600 3000 72 360 1800 9000 16 80 400 2000 48 240 1200 6000 144 720 3600 18000 32 160 800 4000 96 480 2400 12000 288 1440 7200 36000