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1992 AMC 12 Question 17

AMC12 · 1992 AMC 12

Question 17

The two-digit integers from $19$ to $92$ are written consecutively to form the large integer $$
N=19202122\ldots909192.
$$ If $3^k$ is the highest power of $3$ that is a factor of $N,$ then $k=$
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. more than $3$