Another OG question that is atleast a 600-700 level question

hongwang9703 wrote:If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that much divide n is

6
12
24
36
48

could someone please explain how you get the answer because i do not understand the explanation provided by the OG...also what would u rate this question on dificulty.

Abdulla wrote:

hongwang9703 wrote:If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that much divide n is

6
12
24
36
48

could someone please explain how you get the answer because i do not understand the explanation provided by the OG...also what would u rate this question on dificulty.

Can you explain what does " that much divide n is " means ? so we can solve the problem..

RoadtoIVY wrote:Answer is 12:

here is how: factors of 72 are -- 6x6x2

so lowest value on n could be: 6x2 = 12
n^2 = 144 which is divisible by 72

so the largest which can divide n is 12. Hope it helps.