What divisors give you a remainder of 24?

Answer 1

All divisors greater than 24, ie 25, 26, 27, ... can give a remainder of 24 when divided into something, as long as that something is 24 greater than a multiple of the divisor being used.


The largest remainder any divisor can give is one less than the divisor itself - otherwise another chunk of the divisor can be removed and one added to the (integer part of the) quotient.