3Question: What is the smallest positive integer that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5?

Wed, 06 May 2026 05:35:27 +0000

**Discover Hook (130 words)**
Curious minds across the U.S. are increasingly drawn to puzzles that blend logic, pattern recognition, and everyday math—this code question, “What is the smallest positive integer that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5?” is a timeless example. Often appearing in math forums, trivia apps, and brain-training challenges, it reflects a growing interest in how numbers structure our world—from time to schedules to algorithms. Despite its simplicity, this problem reveals the elegant connection between division, remainders, and modular arithmetic, sparking curiosity in learners, educators, and casual problem solvers alike. This article explores the solution with clarity and context, offering readers not just an answer, but a deeper understanding of why it matters in both math and real life. --- ### Why “What is the smallest positive integer that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5?” Is Gaining Attention in the US