Check the impossibility

Sunday, October 03, 2004

Check the Impossibility

Reason why 30414093201713378043612608166064768844377641568960512078291027000
cannot possibly be the value of 50 factorial, without actually performing the calculation.

Answer:

50 factorial includes, as factors, 10, 20, 30, 40, and 50. Therefore, the value of 50 factorial must end in at least five zeroes. The number given only ends in three zeroes. The correct value of 50 factorial is close to this, however. It's equal to
30414093201713378043612608166064768844377641568960512000000000000.

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