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GATE | Sudo GATE 2020 Mock III (24 January 2019) | Question 32

How many factors of 1080 are perfect squares ?
(A) 4
(B) 6
(C) 8
(D) 5

Answer: (A)
Explanation: 1080 = 23 * 33 * 5. For any perfect square, all the powers of the primes have to be even numbers.
So, if the factor is of the form 2a * 3b * 5c.

The values ‘a’ can take are 0 and 2, b can take are 0 and 2, and c can take the value 0.



Totally there are 4 possibilities. 1, 4, 9, and 36.

Option (A) is correct.
Quiz of this Question



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