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Home » \( 1,600 \times \left(\frac12\right)^3 \) - RTA

\( 1,600 \times \left(\frac12\right)^3 \) - RTA

📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 So the prime factorization of $ 1050 $ is:

📌 The distinct prime factors are $ 2, 3, 5, $ and $ 7 $.

📌 Question: How many positive 5-digit numbers are divisible by both $ 4 $ and $ 9 $?

📌 We now count the number of 5-digit numbers divisible by $ 36 $.

📌 The smallest 5-digit number is $ 10000 $, and the largest is $ 99999 $.

📌 Find the smallest multiple of $ 36 $ greater than or equal to $ 10000 $:

📌 Find the largest multiple of $ 36 $ less than or equal to $ 99999 $:

📌 Now count the number of multiples of $ 36 $ from $ 278 $ to $ 2777 $:

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