Search
What is the remainder when the digit 111,111 up to 124 terms is divided by 271?
- Hemant Pandey
- Jun 11, 2018
- 1 min read
The basic concept employed in this solution is that 100,000 divided by 271 leaves remainder as 1. Hence all the terms having powers greater than 5 or multiples of 5 are giving only remainder as 1 multiplied by corresponding coefficients.
For example remainder when 10^11 is divided by 271 = 1*10 = 10, since 10^10 will give remainder as 1 only. This simplifies the problem. Refer attached image for full solution.
