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Q.

The number of ways in which 10,800 can be resoved into product of two factors

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a

30

b

18

c

15

d

60

answer is A.

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Detailed Solution

10,800=12×9×25×4 

             =22×33×52×22

             =24×33×52

Number of divisiors =(4+1)(3+1)(2+1)

=5×4×3=60

10,800 is not perfect square

No. of ways =602=30

 

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The number of ways in which 10,800 can be resoved into product of two factors