The product (8)(888 \ldots 8), where the second factor has k digits, is an integer whose digits have a sum of 1000 . What is k ?

**Answer Choices**

A. 901

B. 911

C. 919

D. 991

E. 999

The product (8)(888 \ldots 8), where the second factor has k digits, is an integer whose digits have a sum of 1000 . What is k ?

**Answer Choices**

A. 901

B. 911

C. 919

D. 991

E. 999