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The number of even proper divisors of 10...

The number of even proper divisors of `1008`

Text Solution

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`because1008=2^(4)xx3^(2)xx7^(1)`
`therefore` Required number of evenn proper divisors
`=`Total number of selections of atleast one 2 and any number of 3's or 7's.
`=4xx(2+1)xx(1+1)-1=23`.
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