#### 18.5Question: Find the smallest positive integer whose cube ends in 222.

Fri, 17 Apr 2026 07:58:31 +0000

**Find the smallest positive integer whose cube ends in 222 — What math hides in plain sight** Is it magic? Is it a cipher? Why do curious minds across the United States keep asking: *What’s the smallest positive integer whose cube ends in 222?* Right now, this question is quietly gaining traction, echoing broader public fascination with number patterns, modular arithmetic, and the small puzzles buried within mathematics. While the cube of most integers grows rapidly beyond a few digits, the precise ending of 222 holds a rare appeal—part problem, part mystery—drawing readers eager to decode it. This intrigue isn’t just academic. As digital literacy grows, everyday users increasingly stumble upon number patterns during online exploration, especially in financial trends, coding challenges, and data literacy. The cube ending in 222 represents one such curiosity point where math, logic, and digital curiosity meet. The core question remains: What is the smallest positive integer *n* such that *n³* ends in the digits 222?