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The number of even divisors of 10800 is ...

The number of even divisors of 10800 is (a) 16 (c) 36 (b) 31 (d) 48

Text Solution

Verified by Experts

`10800=2^4xx3^3xx5^2`
there will be even divisors when there is atleast one 2.
Number of even divisors=`4xx4xx3=48`(4 options for multiples of 2 as minimum one 2 is required, 4 options for 3 including the power0,1,2,3 and similarly with5)
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