Can anyone please explain why we chose 12 and not 48? Essentially why we need the largest factor of n, instead of the largest multiple from the given options?

But does 48 work, if n = 12 for example?

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Got it. Should’ve checked that. Thanks!

To answer your question: *Essentially why we need the largest factor of n, instead of the largest multiple from the given options?*

m*x=n here, x is the factor of n – x divides n completely (i.e., remainder=0, quotient=m) and n is called the multiple

if x has 2^2*3 then it will divide n completely by leaving no remainder