GATE | GATE-CS-2014-(Set-2) | Question 65

The number of distinct positive integral factors of 2014 is _________________________
(A) 7
(B) 8
(C) 9
(D) 10

Answer: (B)
Explanation: Prime factorization of 2014 = 2¹x19¹x53¹
Therefore, total number of factors of 2014 = (1+1)x(1+1)x(1+1) = 2x2x2 = 8
These are = 1, 2, 19, 38, 53, 106, 1007 and 2014.
So, option (B) is correct.
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