For k>0, let I_{k}=10 \ldots 064, where there are k zeros between the 1 and the 6 . Let N(k) be the number of factors of 2 in the prime factorization of I_{k}. What is the maximum value of N(k) ?
Answer Choices
A. 6
B. 7
C. 8
D. 9
E. 10
For k>0, let I_{k}=10 \ldots 064, where there are k zeros between the 1 and the 6 . Let N(k) be the number of factors of 2 in the prime factorization of I_{k}. What is the maximum value of N(k) ?
Answer Choices
A. 6
B. 7
C. 8
D. 9
E. 10