Permutation and CombinationHard
Question
N is a least natural number having 24 divisors. Then the number of ways N can be resolved into two factors is
Options
A.12
B.24
C.6
D.None of these
Solution
N = 2α .3β 5γ = 23 .32 .5
(α + 1) (β + 1) (γ + 1) = 4.3.2
N = 360 = 23 . 32 .5
(α + 1) (β + 1) (γ + 1) = 4.3.2
N = 360 = 23 . 32 .5
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