Man Cat T1 Q10

[joyseychow]

How many factors does 36^2 have?
A. 2
B. 8
C. 24
D. 25
E. 26

How to solve this the quickest way.

[cramya]

Prime factorize and then add 1 to the exponents of the various distinct factors and multiply

36*36 = 1296

1296 = 2^4 * 3^4

(4+1) * (4+1) = 25

Hope this helps!

Regards,
CR

[sureshbala]

Since the given number is a perfect square, total number of its factors must be odd. Only one option 25.

Hey...am I trying to be too quick

[joyseychow]

Thanks CR!!

Sureshbala.. that's a sure quickie! It does make sense.

[welcome]

sureshbala, Good catch.