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find the first non-zero digit (FNZD) in 2000!

(Q). Find the first non-zero digit (FNZD) in 2000!.
Solution:- 

 

 

20004008055165Remainder000RRR553013RRQ(16) = 16Q = U(3×2×1) = 6H = 499

FNZD(2000!) = 2⁴⁹⁹ × 0! × 0! × 0! × 1! × 3!
                           = 8 × 6
                           = 8 Answer

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