A number theory problem by Kalfin Muchtar
Number Theory
Level
3
How many trailing zeros are there in
The answer is 13576.
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1 solution
Whew! That was large! Using prime factorization basically we find that all we got to do is find the powers of 5 in this number (54321). Thus we take the floor function of each result uptil 5^6. We get 10864,2172,434,86,17,3. Summing we get our answer 1 3 5 7 6