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Question

The number of positive divisors of 216 is

A
16
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B
6
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C
8
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D
12
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Solution

The correct option is A 16
For a number N, number of divisors are given by the formula
(a+1)(b+1)(c+1)(d+1)....
When we write N in terms of its prime factor
N= PaQbRc...
Here P,Q,R are the prime factors of the number N.
So for 216= 2333
So total number of divisors are given by 4×4=16

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