$H o w m a n y f a c t o r s o f 1080 a r e p e r f e c t s q u a r e s ?$

32

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36

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8

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25

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Solution

The correct option is A $32$
$1080 = 2 \times 2 \times 2 \times 2 \times 9 \times 3 \times 5$

$= 2^{3} \times 3^{3} \times 5$

so, number of factors are $(3 + 1) (3 + 1) (1 + 1)$

$= 32$

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