###Explanation### тLʒ"Fizz"D'ÒÖ™DŠ«)¬ÑD5ås3å«è, тL # push [1,...,100] ʒ # for each... "Fizz" # Push Fizz (didn't find a way to shorten this one sadly) D # Duplicate 'ÒÖ™ # Push Buzz D # Duplicate Š # Move top item on the stack two slots down « # Concatenate the top items (Results in FizzBuzz) ) # Wrap stack to array ¬Ñ # Get Divisors of N D5å # Does 5 divide it? s3å # Does 3 divide it? « # Concatenate top two items è, # Gets item in the array at the index of the concatenated divisors (indexing wraps around) and prints

Explanation

тLʒ"Fizz"D'ÒÖ™DŠ«)¬ÑD5ås3å«è,
тL                            # push [1,...,100]
  ʒ                           # for each...
   "Fizz"                      # Push Fizz (didn't find a way to shorten this one sadly)
         D                     # Duplicate
          'ÒÖ™                 # Push Buzz
              D                # Duplicate
               Š               # Move top item on the stack two slots down
                «              # Concatenate the top items (Results in FizzBuzz)
                 )             # Wrap stack to array
                  „           # Get Divisors of N
                    D5å        # Does 5 divide it?
                       s3å     # Does 3 divide it?
                          «    # Concatenate top two items
                           è,  # Gets item in the array at the index of the concatenated divisors (indexing wraps around) and prints  
                   

05AB1E, 29 bytes

тLʒ"Fizz"D'ÒÖ™DŠ«)¬ÑD5ås3å«è,

Try it online!

To my surprise (or my incapability to use the search function) there was no 05AB1E answer to this question.

###Explanation### тLʒ"Fizz"D'ÒÖ™DŠ«)¬ÑD5ås3å«è, тL # push [1,...,100] ʒ # for each... "Fizz" # Push Fizz (didn't find a way to shorten this one sadly) D # Duplicate 'ÒÖ™ # Push Buzz D # Duplicate Š # Move top item on the stack two slots down « # Concatenate the top items (Results in FizzBuzz) ) # Wrap stack to array ¬Ñ # Get Divisors of N D5å # Does 5 divide it? s3å # Does 3 divide it? « # Concatenate top two items è, # Gets item in the array at the binary index of the concatenated divisors and prints

05AB1E, 29 bytes

тLʒ"Fizz"D'ÒÖ™DŠ«)¬ÑD5ås3å«è,

Try it online!

To my surprise (or my incapability to use the search function) there was no 05AB1E answer to this question.

###Explanation### тLʒ"Fizz"D'ÒÖ™DŠ«)¬ÑD5ås3å«è, тL # push [1,...,100] ʒ # for each... "Fizz" # Push Fizz (didn't find a way to shorten this one sadly) D # Duplicate 'ÒÖ™ # Push Buzz D # Duplicate Š # Move top item on the stack two slots down « # Concatenate the top items (Results in FizzBuzz) ) # Wrap stack to array ¬Ñ # Get Divisors of N D5å # Does 5 divide it? s3å # Does 3 divide it? « # Concatenate top two items è, # Gets item in the array at the index of the concatenated divisors (indexing wraps around) and prints