reemel3bd wrote:

Hii guys..

Greetings..

I'm currently using the GMAT club maths book to prepare for the GMAT and I had a question regarding perfect squares in P6 of the maths book..

I tried applying these rules to a perfect square (ex 144) and some of them didn't work.. Would you please illustrate using an example how these rules "always" hold as the book says..

Rules:

" A perfect square, is an integer that can be written as the square of some other integer. For example 16=4^2, is an

perfect square.

There are some tips about the perfect square:

• The number of distinct factors of a perfect square is ALWAYS ODD.

• The sum of distinct factors of a perfect square is ALWAYS ODD.

• A perfect square ALWAYS has an ODD number of Odd-factors, and EVEN number of Even-factors.

• Perfect square always has even number of powers of prime factors. "

Ex. 144= (3^2)*(2^4)

Rules 2 and 4 don't apply here..

Thanks and have a great day!

Best Regards,

Reem

Why not???

144= (3^

2)*(2^

4), the powers of primes are even.

144 has 15 factors: 1 | 2 | 3 | 4 | 6 | 8 | 9 | 12 | 16 | 18 | 24 | 36 | 48 | 72 | 144. The sum = 403 = odd.

Now I get it.. Thanks..

If such question shows up on the exam, that would be very time-consuming to do..