PUMaC 2014 · 数论(A 组) · 第 2 题
PUMaC 2014 — Number Theory (Division A) — Problem 2
题目详情
- [ 3 ] What is the last digit of 17 ?
解析
- [ 3 ] What is the last digit of 17 ? Solution: 17 17 17 17 All we care is that 17 ≡ 1 ≡ 1 mod 4. Therefore, since the last digit repeats every four products of 17s, the last digit must be 7 .