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What is the least natural (k) for which (k!) is divisible by (72)?सबसे छोटा प्राकृतिक (k) क्या है जिसके लिए (k!), (72) से विभाज्य हो?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (6)(6)
(72=2^3\cdot3^2), and (6!) contains these factors. In such questions, use prime factorization of the number.(72=2^3\cdot3^2) है और (6!) में ये गुणनखंड मिल जाते हैं। ऐसे प्रश्नों में संख्या का अभाज्य गुणनखंडन करें।
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