Question

A positive integer has 1001 digits all of which are 1. when this number is divided by 1001 what is the remainder?

Answer 1

111111÷1001=111111111÷1001=111

1001=166⋅6+51001=166⋅6+5, so there are 166 digit groups of 111111 with the last five digits as 11111 that make up the 1001 digit number with every digit equal to 1.

11111=1001⋅11+10011111=1001⋅11+100

the remainder is 100

Answer 2

Answer:

The answer is 100.

Step-by-step explanation:

Will tell in some time.