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Calculate the prime factorization of 54000 and then click next.

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The prime factorization of 54000 is 2 4×3 3×5 3.

How many positive integer factors (includes composite and prime) does 54000 have?

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54000 has 80 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 )
Powers of 3: Array ( [0] => 1 [1] => 3 [2] => 9 [3] => 27 )
Powers of 5: Array ( [0] => 1 [1] => 5 [2] => 25 [3] => 125 )

The 80 composite factors of 54000 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 ) [2] => Array ( [0] => 9 [1] => 45 [2] => 225 [3] => 1125 ) [3] => Array ( [0] => 27 [1] => 135 [2] => 675 [3] => 3375 ) ) [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] => 18 [1] => 90 [2] => 450 [3] => 2250 ) [3] => Array ( [0] => 54 [1] => 270 [2] => 1350 [3] => 6750 ) ) [2] => Array ( [0] => Array ( [0] => 4 [1] => 20 [2] => 100 [3] => 500 ) [1] => Array ( [0] => 12 [1] => 60 [2] => 300 [3] => 1500 ) [2] => Array ( [0] => 36 [1] => 180 [2] => 900 [3] => 4500 ) [3] => Array ( [0] => 108 [1] => 540 [2] => 2700 [3] => 13500 ) ) [3] => Array ( [0] => Array ( [0] => 8 [1] => 40 [2] => 200 [3] => 1000 ) [1] => Array ( [0] => 24 [1] => 120 [2] => 600 [3] => 3000 ) [2] => Array ( [0] => 72 [1] => 360 [2] => 1800 [3] => 9000 ) [3] => Array ( [0] => 216 [1] => 1080 [2] => 5400 [3] => 27000 ) ) [4] => Array ( [0] => Array ( [0] => 16 [1] => 80 [2] => 400 [3] => 2000 ) [1] => Array ( [0] => 48 [1] => 240 [2] => 1200 [3] => 6000 ) [2] => Array ( [0] => 144 [1] => 720 [2] => 3600 [3] => 18000 ) [3] => Array ( [0] => 432 [1] => 2160 [2] => 10800 [3] => 54000 ) ) )

The composite factors listed in the array above are:
1     5     25     125     3     15     75     375     9     45     225     1125     27     135     675     3375     2     10     50     250     6     30     150     750     18     90     450     2250     54     270     1350     6750     4     20     100     500     12     60     300     1500     36     180     900     4500     108     540     2700     13500     8     40     200     1000     24     120     600     3000     72     360     1800     9000     216     1080     5400     27000     16     80     400     2000     48     240     1200     6000     144     720     3600     18000     432     2160     10800     54000    

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