The prime factorization of 3600 is 2 4×3 2×5 2.
How many positive integer factors (includes composite and prime) does 3600 have?
3600 has 45 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
)
Powers of 3: Array
(
[0] => 1
[1] => 3
[2] => 9
)
Powers of 5: Array
(
[0] => 1
[1] => 5
[2] => 25
)
The 45 composite factors of 3600 are listed in the array below:
Array
(
[0] => Array
(
[0] => Array
(
[0] => 1
[1] => 5
[2] => 25
)
[1] => Array
(
[0] => 3
[1] => 15
[2] => 75
)
[2] => Array
(
[0] => 9
[1] => 45
[2] => 225
)
)
[1] => Array
(
[0] => Array
(
[0] => 2
[1] => 10
[2] => 50
)
[1] => Array
(
[0] => 6
[1] => 30
[2] => 150
)
[2] => Array
(
[0] => 18
[1] => 90
[2] => 450
)
)
[2] => Array
(
[0] => Array
(
[0] => 4
[1] => 20
[2] => 100
)
[1] => Array
(
[0] => 12
[1] => 60
[2] => 300
)
[2] => Array
(
[0] => 36
[1] => 180
[2] => 900
)
)
[3] => Array
(
[0] => Array
(
[0] => 8
[1] => 40
[2] => 200
)
[1] => Array
(
[0] => 24
[1] => 120
[2] => 600
)
[2] => Array
(
[0] => 72
[1] => 360
[2] => 1800
)
)
[4] => Array
(
[0] => Array
(
[0] => 16
[1] => 80
[2] => 400
)
[1] => Array
(
[0] => 48
[1] => 240
[2] => 1200
)
[2] => Array
(
[0] => 144
[1] => 720
[2] => 3600
)
)
)
The composite factors listed in the array above are:
1 5 25 3 15 75 9 45 225 2 10 50 6 30 150 18 90 450 4 20 100 12 60 300 36 180 900 8 40 200 24 120 600 72 360 1800 16 80 400 48 240 1200 144 720 3600
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600