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1080=2^{3} x 3^{3} x 5^{1}
So, Number of divisors/factors = 4 x 4 x 2 = 32 Out of all the factors 1, 4(2^{2}), 9(3^{3}) and 36 (9 x 4) are perfect Squares.
So the answer is 32-4 = 28.
how do we easily find 1, 4, 9 and 36 are the perfect squares? Does it have any logic?
pls explain this logic.? i did'nt know why 36 come.
i am not clear form this answer because i am not understood this concept........please reply step by step.
1080=2^3 x 3^3 x 5^1
we have to guess the factors which are perfect squares from above factors...
i.e.1, 4(2^2), 9(3^3) and 36 (2^2*3^3) are perfect Squares from above factors.
36 (2^2*3^3)-this is taken by breaking the factors of 1080 for getting a perfect square... This is how 36 is taken.
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