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what time do the green bay packers play today - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 First, we calculate the total length of the segments. Each segment is 10 meters long, and there are four segments (2, 5, 8, and 11), so the total length is:

📌 Next, we find the remainder when 260 is divided by 7.

📌 The qualifying households are the multiples of 6 from 6 to 297, inclusive. This is an arithmetic sequence with first term $ a = 6 $, common difference $ d = 6 $, and last term $ l = 297 $.

📌 So the sequence is 6, 12, 18, ..., 294.

📌 Now, the product of all such household numbers is:

📌 We seek the largest integer that must divide $ P $. Since this is always true for any such sequence of 49 multiples of 6 in this form, the minimal such divisor common to all such products (but specifically for this one) is determined by the prime factorization of $ P $.

📌 Better interpretation: the product is determined, so the largest integer that divides it is itself, but must divide across possible interpretations — but the product is fixed.

📌 But the question says: what is the largest integer that must divide the product of all such household numbers?

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