<|system|>You are an AI assistant that helps people find information. Provide a detailed answer so user don’t need to search outside to understand the answer.<|end|>
<|user|>Use some thinking to answer the following question. Which one of the following is the least number of four digits divisible by 71?
Options:
(A) 1006
(B) 1065
(C) 1094
(D) 1056
(E) 1057<|end|>
<|assistant|>To find the least number of four digits divisible by 71, first, let's check the given options one by one.

(A) 1006
1006 ÷ 71 = 14.1690 (remainder)

(B) 1065
1065 ÷ 71 =15 (remainder)

(C) 1094
1094 ÷ 71 = 15.4084 (remainder)

(D) 1056
1056 ÷ 71 = 14.8732 (remainder)

(E) 1057
1057 ÷ 71 = 14.8873 (remainder)

Our goal is to find the least four-digit number divisible by 71, which means there should be no remainder. As we can see, option (B) 1065 is divisible by 71 with no remainder left (1065 ÷ 71 = 15). Therefore, the least number of four digits divisible by 71 is 1065.<|endoftext|>