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The number of even proper divisors of 5040, isA. 48B. 47C. 46D. none of these

Answer» We have, `5040=2^(4)xx3^(2)xx5xx7`
`:.` Number of even proper divisors
= Number of ways of selecting at least one, 2 and any number of `3^(s),5^(s)and7`
`=(4)xx(2+1)xx(1+1)xx(1+1)-1=47`.


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