Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2017-part-06 — 176 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 35

The number $n=100\ldots 001$ is given, written with 2017 zeros and 2 ones.

a. Is the number $n$ divisible by 11?

b. Is the number $n$ divisible by 101?

c. Is the number $n$ divisible by 1001?