find the number of positive divisors of 1080
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8 * 135 = 8 * 5 * 27
=2^3 * 3^3 * 5
Aliquot parts tells us that there are 4 * 4 * 2 = 32 factors. The ones that are perfect squared are:
1, 2^2, 3^2, 2^2 * 3^2
28 factors are not perfect squares.
Number of divisors = 4*4*2 = 32
Number of square divisors = ([3/2]+1)([3/2]+1)([1/2]+1) = 4
Difference = 28.
=2^3 * 3^3 * 5
Aliquot parts tells us that there are 4 * 4 * 2 = 32 factors. The ones that are perfect squared are:
1, 2^2, 3^2, 2^2 * 3^2
28 factors are not perfect squares.
Number of divisors = 4*4*2 = 32
Number of square divisors = ([3/2]+1)([3/2]+1)([1/2]+1) = 4
Difference = 28.
kalyaniflairy:
can u give me a clear explanation
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