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Home » En combinant les termes, on obtient \( 4y + 3 = 42 \). - ClickBalance

En combinant les termes, on obtient \( 4y + 3 = 42 \). - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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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:
Not always divisible by 5 (e.g., $ n = 1 $: product = 24, not divisibl...
Not always divisible by higher powers (e.g., $ n = 1 $: product = 24,...
Thus, the largest integer that must divide the product of any four con...
Question: A mammalogist observes that a species of Arctic foxes return...
Solution: We are to find the least common multiple of 5 and 7:

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