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