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What is the smallest positive (n) for which (n!) is divisible by (1008)?सबसे छोटा धनात्मक (n) क्या है जिसके लिए (n!) संख्या (1008) से विभाज्य हो?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (7)(7)
(1008=2^4\cdot3^2\cdot7), and (7!) contains all these factors. For divisibility, satisfy all prime factor requirements.(1008=2^4\cdot3^2\cdot7) है और (7!) में ये सभी गुणक मिल जाते हैं। विभाज्यता में अभाज्य गुणनखंडों की जरूरत पूरी करें।
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