5Question: What is the smallest three-digit number that is divisible by 8 and 15?

Sun, 03 May 2026 17:46:32 +0000

**5Question: What is the smallest three-digit number that is divisible by 8 and 15?**
This simple math question sparks quiet curiosity among math enthusiasts, students, and curious minds—especially those exploring patterns in everyday numbers. For many, determining divisibility by key values like 8 and 15 invites a moment of logical reflection, blending logic with a touch of precision. With the average US person engaging deeply with informative, problem-solving content on mobile, this question reflects a growing interest in numerical reasoning and digital literacy. **Why Is This Question Resonating in the US?**
Media trends and educational content increasingly highlight foundational math puzzles—not just for entertainment, but as tools for building mental discipline. The focus on 5Question: What is the smallest three-digit number divisible by 8 and 15? aligns with a cultural shift toward mindful learning in a fast-digital world. People seek clarity in concepts that seem abstract but are rooted in real-world logic. Whether used in study routines or casual exploration, this question cuts through the noise, offering a satisfying mental challenge. In an era where bite-sized facts compete for attention, the simplicity and universality of divisibility tests make them perfect for discovery-based search queries. **How Does It Actually Work?**
To find the smallest three-digit number divisible by both 8 and 15, begin by calculating their least common multiple (LCM). Since 15 = 3 × 5 and 8 = 2³, the LCM combines the highest powers: 2³ × 3 × 5 = 120. 120 is the smallest number divisible by both, and it comfortably fits the three-digit threshold. This calculation reveals not only the number but also a deeper pattern: multiples of 120 repeat every 120 steps. From 100 up, 120 is the first full three-digit occupant of this divisibility envelope—simple, elegant, and instantly verifiable. **Common Questions and Clarifications**
Many wonder: Does 120 truly qualify? Yes—divisible by 8 (120 ÷ 8 = 15), and by 15 (120 ÷ 15 = 8). Others question if smaller three-digit numbers like 100 or 110 qualify. Since 120 is the first multiple of their LCM greater than 99, no smaller three-digit number satisfies both. Or checks looking for “divisible by” might confuse shared factors, but 120’s clarity avoids ambiguity. Understanding this builds confidence in basic number theory—especially valuable for learners navigating math tools digitally.