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Weekly Problem 32 - 2006

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

The number $3^4\times 4^5\times 5^6$ is written out in full. How many zeros are there at the end of the number?
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
  

This problem is taken from the UKMT Mathematical Challenges.

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