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

[hongwang9703]

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]

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..

[heshamelaziry]

IMO B (12) I think this is 550-580 question

[heshamelaziry]

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..

I think it is a typo. It should be "that must divide n"

[RoadtoIVY]

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.

[Abdulla]

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.

I got the same answer, but want to make sure whether it's the correct question.

What's the OA?

[papgust]

This is already posted and discussed. Check Stuart's brilliant approach..!

https://www.beatthegmat.com/perfect-squa ... tml#191723

Many people repeatedly post questions that are already discussed in this forum. Everyone must find time to search the forum first before it is posted.

[hongwang9703]

sorry for the typo and thank you for the advice. I totally forgot about search. yes Answer is 12