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war with iraq 2003 - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Solution: To find the smallest four-digit number divisible by both 7 and 13, we first compute their least common multiple. Since 7 and 13 are both prime, their LCM is simply their product:

📌 Now we find the smallest four-digit number divisible by 91. The smallest four-digit number is 1000. We divide 1000 by 91:

📌 Thus, the smallest four-digit number divisible by both 7 and 13 is:

📌 Solution: To simplify, reduce each base modulo 8:

📌 Solution: Let the four consecutive integers be $ n, n+1, n+2, n+3 $. Their product is:

📌 Among any four consecutive integers, at least one is divisible by 3.

📌 To confirm 24 is the largest guaranteed divisor, consider the product of $ 1, 2, 3, 4 $:

📌 $$A bioinformatician is analyzing gene expression data from 1024 samples and wants to recursively divide the dataset into equally sized subgroups using a binary split strategy until each subgroup contains only 4 samples. How many times must she perform the split to achieve this?

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