The prime factorization of 360 is 2 3×3 2×5 1.
How many positive integer factors (includes composite and prime) does 360 have?
360 has 24 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
)
Powers of 3: Array
(
[0] => 1
[1] => 3
[2] => 9
)
Powers of 5: Array
(
[0] => 1
[1] => 5
)
The 24 composite factors of 360 are listed in the array below:
Array
(
[0] => Array
(
[0] => Array
(
[0] => 1
[1] => 5
)
[1] => Array
(
[0] => 3
[1] => 15
)
[2] => Array
(
[0] => 9
[1] => 45
)
)
[1] => Array
(
[0] => Array
(
[0] => 2
[1] => 10
)
[1] => Array
(
[0] => 6
[1] => 30
)
[2] => Array
(
[0] => 18
[1] => 90
)
)
[2] => Array
(
[0] => Array
(
[0] => 4
[1] => 20
)
[1] => Array
(
[0] => 12
[1] => 60
)
[2] => Array
(
[0] => 36
[1] => 180
)
)
[3] => Array
(
[0] => Array
(
[0] => 8
[1] => 40
)
[1] => Array
(
[0] => 24
[1] => 120
)
[2] => Array
(
[0] => 72
[1] => 360
)
)
)
The composite factors listed in the array above are:
1 5 3 15 9 45 2 10 6 30 18 90 4 20 12 60 36 180 8 40 24 120 72 360
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360