HELP for Practice question from video

[rheapatel2002]

Hey guys! I need help understanding a small concept that is part of this question. The video is Integers and Primes Practice and the question is at the very end :
“Let S be the set of all positive integers n such that n^2 is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S?”

So I understand how to do prime factorization, however, I do not understand in the video how he got n from n^2 (from the prime factorization). I guess I am confused on how to work backwards from n^2.

I hope someone can give me feedback because I have been really trying to understand it and just cant grasp it. Any help at all is greatly appreciated.

-RP

[HoldMyBeer]

Quant question- practice problem solving

A better way would’ve been that you attached a solution and we would’ve pointed out at which step you’re making the mistake but anyways, here is how I approach this: I will start by finding the LCM of 24 and 108 and you might wonder why ? Ans: LCM is a common strategy for solving problems that involve finding common multiples or common divisors of two or more numbers. In this particular problem, we are given that n^2 is a multiple of both 24 and 108. This means that n^2 must be divisible by a…

[rheapatel2002]

Noted for future questions! Apologies for the inconvenience. I do appreciate your feedback, makes much more sense now!! Thanks so much!!

[HoldMyBeer]

@rheapatel2002

Noted for future questions! Apologies for the inconvenience

That message was meant for the original poster. In my opinion, if you immediately look for a solution without attempting to solve the problem yourself, you won’t learn much. That’s why I made the comment.