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Home » You Won’t Believe How Much This Minecraft House Cost Under $100! - Upplift

You Won’t Believe How Much This Minecraft House Cost Under $100! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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So $ 12 \mid (n - 1)(n + 1) $.
We test small values of $ n $:
$ n = 1 $: $ 1^2 = 1 \equiv 1 \pmod{12} $ ✅
Thus, the smallest such $ n $ is $ \boxed{1} $.
Solution: Consider four consecutive integers: $ n, n+1, n+2, n+3 $.
The product is $ P = n(n+1)(n+2)(n+3) $.
Among any four consecutive integers, one is divisible by 4.
At least two are even, so the product is divisible by $ 2^3 = 8 $.
Thus, $ P $ is divisible by $ \text{lcm}(8, 3) = 24 $.
We check if a larger fixed divisor is guaranteed:

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Perimeter of the garden = 2 Ã (30 + 20) = <<2 Ã (30 + 20) = 100>>100...
Total fencing cost = 100 Ã 12 = <<100 Ã 12 = 1200>>1200 dollars.
A school ordered 450 pencils. If each student receives 15 pencils, how...
Number of students = 450 Ã· 15 = <<450 Ã· 15 = 30>>30 students.
Remaining pencils = 450 â (30 Ã 15) = <<450 â 450 = 0>>0.
#### 30 students, 0 pencils left
Convert 2 hours 45 minutes to hours: 2 + 45/60 = <<2 + 45/60 = 2.75>>2...
Distance = 60 Ã 2.75 = <<60 Ã 2.75 = 165>>165 km.
A school has 800 students. 40% are in middle school, and the rest are...
Middle school students = 800 Ã 0.4 = <<800 Ã 0.4 = 320>>320.

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