Week 1 Class 1 Quant Queries

GRE Quant Problem Solving
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Hello,
I’m super new to Gregmat and have just begun with the two month schedule. Had two queries:

  1. There was a small homework question on ‘How many zeroes are there at the end of 25!?’
    Query: Is it a correct approach to figure out the number 5’s in the prime factorization? Is the final answer two?

  2. In the things to do, under week 1 class 1, I didn’t completely understand the solution to the last problem - ‘S be the set of all positive integers n such that such that n^2 is a multiple of both 24 and 108…’
    Query: Why did we consider only 2^3 for checking the divisibility of 24 and 3^2 for 108?

Thanks for your patience and time!

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4 posts were merged into an existing topic: ETS OG Hard problem| Let S be the set of all positive integers n such that