5Frage: Wie viele positive ganze Zahlen kleiner als 1000 sind sowohl durch 7 als auch durch 11 teilbar?

Mon, 04 May 2026 17:33:15 +0000

**1. Intro: The Hidden Math That Counts in Everyday Tech and Trends**
Curious about how mathematics quietly shapes the digital tools Americans rely on? A fundamental number puzzle often sparks interest: how many positive whole numbers less than 1000 are divisible by both 7 and 11? This deceptively simple question isn’t just an exercise in multiplication—it reveals patterns in modular arithmetic, influences real-world applications like scheduling algorithms and data segmentation, and fuels curiosity across education, finance, and emerging industries. In an era defined by precision and efficiency, understanding such math behind the scenes helps users grasp technology and trends shaping their daily lives. So, how many numbers meet this criteria—and why does it matter? **2. Why This Question Is Growing in the Digital Age**
Across the U.S., there’s rising interest in efficiency-driven insights powered by smart data filtering. The query “How many positive whole numbers less than 1000 are divisible by both 7 and 11?” increasingly appears in searches driven by educators, developers, and business analysts. This reflects a broader trend: people want to extract meaningful guidelines from numbers for automation, budget planning, and algorithm design. As algorithmic thinking becomes more fundamental in tech education and professional tools, such mathematical queries gain traction—especially when simplified into clear, trustworthy explanations. **3. Breaking It Down: How to Solve the Problem**
To determine how many positive integers below 1000 are divisible by both 7 and 11, start by recognizing that since 7 and 11 are prime, their least common multiple is simply 7 × 11 = 77. The question reduces to finding how many multiples of 77 exist below 1000. This is done by dividing 999 (the largest integer under 1000) by 77. Performing the division: 999 ÷ 77 ≈ 12.97. Only whole multiples count, so the answer is the integer part—12. Thus, twelve positive whole numbers less than 1000 satisfy the condition