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Calculate the prime factorization of 12000 and then click next.

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The prime factorization of 12000 is 2 5×3 1×5 3.

How many positive integer factors (includes composite and prime) does 12000 have?

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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.

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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    

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