The prime factorization of 2400 is 2 5×3 1×5 2.
How many positive integer factors (includes composite and prime) does 2400 have?
2400 has 36 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
)
The 36 composite factors of 2400 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
)
)
[1] => Array
(
[0] => Array
(
[0] => 2
[1] => 10
[2] => 50
)
[1] => Array
(
[0] => 6
[1] => 30
[2] => 150
)
)
[2] => Array
(
[0] => Array
(
[0] => 4
[1] => 20
[2] => 100
)
[1] => Array
(
[0] => 12
[1] => 60
[2] => 300
)
)
[3] => Array
(
[0] => Array
(
[0] => 8
[1] => 40
[2] => 200
)
[1] => Array
(
[0] => 24
[1] => 120
[2] => 600
)
)
[4] => Array
(
[0] => Array
(
[0] => 16
[1] => 80
[2] => 400
)
[1] => Array
(
[0] => 48
[1] => 240
[2] => 1200
)
)
[5] => Array
(
[0] => Array
(
[0] => 32
[1] => 160
[2] => 800
)
[1] => Array
(
[0] => 96
[1] => 480
[2] => 2400
)
)
)
The composite factors listed in the array above are:
1 5 25 3 15 75 2 10 50 6 30 150 4 20 100 12 60 300 8 40 200 24 120 600 16 80 400 48 240 1200 32 160 800 96 480 2400