The prime factorization of 900 is 2 2×3 2×5 2.
How many positive integer factors (includes composite and prime) does 900 have?
900 has 27 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
)
Powers of 3: Array
(
[0] => 1
[1] => 3
[2] => 9
)
Powers of 5: Array
(
[0] => 1
[1] => 5
[2] => 25
)
The 27 composite factors of 900 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
)
)
)
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