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The wording of (2) may be a bit tricky.brandonw3 wrote:If k is a positive integer, is k the square of an integer?
1) k is divisible by 4
2) k is divisible by exactly four different prime numbers
does statement 2 have a "yes" outcome?
thanks
correct.ddo wrote:Answer would be E then.?
K could be 2*2*3*5*7 = 420 multiple of 4 but not perfect square
or could be 2*2*3*3*5*5*7*7 multiple of 4 and perfect sq.
I think the rule is: a sq of a prime nbr has always 3 factors
lunarpower wrote:ddo wrote:Answer would be E then.?
here's a more general fact: all perfect squares - and ONLY perfect squares - have an odd number of total factors.
there are some clever little ways to show that this is true, but, for gmat style time management, you should just know it without having to mentally re-derive it every time.
perfect squares are integers that are squares of other integers: 1, 4, 9, 16, 25, ...dally_gmat wrote:Perfect square is same as square or it is sub set of squares??
