The prime factorization of 12000 is 2 5×3 1×5 3.
How many positive integer factors (includes composite and prime) does 12000 have?
12000 has 48 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
)
Powers of 5: Array
(
[0] => 1
[1] => 5
[2] => 25
[3] => 125
)
The 48 composite factors of 12000 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
)
)
[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] => Array
(
[0] => 4
[1] => 20
[2] => 100
[3] => 500
)
[1] => Array
(
[0] => 12
[1] => 60
[2] => 300
[3] => 1500
)
)
[3] => Array
(
[0] => Array
(
[0] => 8
[1] => 40
[2] => 200
[3] => 1000
)
[1] => Array
(
[0] => 24
[1] => 120
[2] => 600
[3] => 3000
)
)
[4] => Array
(
[0] => Array
(
[0] => 16
[1] => 80
[2] => 400
[3] => 2000
)
[1] => Array
(
[0] => 48
[1] => 240
[2] => 1200
[3] => 6000
)
)
[5] => Array
(
[0] => Array
(
[0] => 32
[1] => 160
[2] => 800
[3] => 4000
)
[1] => Array
(
[0] => 96
[1] => 480
[2] => 2400
[3] => 12000
)
)
)
The composite factors listed in the array above are:
1 5 25 125 3 15 75 375 2 10 50 250 6 30 150 750 4 20 100 500 12 60 300 1500 8 40 200 1000 24 120 600 3000 16 80 400 2000 48 240 1200 6000 32 160 800 4000 96 480 2400 12000
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000