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

My Personal Notes arrow_drop_up
Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.