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How many positive integers are factors of 216, inclusive of 1 and the number itself?
(A) 9
(B) 12
(C) 16
(D) 18
(E) 24
(A) 9
(B) 12
(C) 16
(D) 18
(E) 24
21 Mar 2020, 01:46
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total no of factors of integer \(n = a^x * b^y\) where a, b are prime factors is given by \((x+1)*(y+1)\)
\(216= 2^3 * 3^3\) thus no of factors are \((3+1)*(3+1)=16\)
ANSWER : C
\(216= 2^3 * 3^3\) thus no of factors are \((3+1)*(3+1)=16\)
ANSWER : C
