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Many Questions...Crypto-Style!

                4 ? ?
              x 3 ? ?
              ? ? ? 5
            3 ? ? ? 0
             ? ? ? 7 0 0   
          ? ? ? ? 7 ?

Do not be intimidated by the fact that there are 1018 or 1 quintillion possibilities to check.... Through the power of reasoning and computational-sense, you can narrow things considerably!

 


Hint: Start somewhere that makes sense...make a guess...reason out the possibilities. For example, where can you place the digit 1? Have fun.

 


Solution Commentary: Multiple answers can be found....much less than the 1018 initial possibilities. For example, I found at least four answers involving the multiplicand 375. Can you find these four? Can you find others that do not involve 375?