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Home » From Nothing to Epic—How 8886323862 Unlocked a Global Obsession! - Imagemakers

From Nothing to Epic—How 8886323862 Unlocked a Global Obsession! - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 A herpetologist is studying the population of a rare species of lizard in a conservation area. They note the lizard population increased by 14, 28, 42, and 56 over the past four consecutive years. What is the greatest common divisor (GCD) of these population increases?

📌 To find the GCD of 14, 28, 42, and 56, we start by determining the prime factorizations:

📌 The GCD is found by taking the lowest power of all prime factors present in each factorization:

📌 A linguist is developing a new algorithm for language frequency analysis. They need to compute the remainder when the sum of the cubes of the first 6 positive integers is divided by 5. What is this remainder?

📌 First, calculate the sum of the cubes of the first 6 positive integers:

📌 Next, find the remainder when 441 is divided by 5:

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