Question
Download Solution PDFजर संख्या 810 × 97 × 78 च्या स्वरूपात असेल तर दिलेल्या संख्येच्या अविभाज्य घटकांची एकूण संख्या शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले:
संख्या 810 × 97 × 78 आहे
वापरलेली संकल्पना:
जर xa × yb × zc ...... आणि इतर असंख्य रुप, तर एकूण अविभाज्य घटक = a + b + c ..... आणि पुढेही
जिथे x, y, z, ... या मूळ संख्या आहेत
हिशोब:
संख्या 810 × 97 × 78 हे (23)10 × (32)7 × 78 अशी ही लिहिले जाऊ शकते
संख्या 230 × 314 × 78 अशी ही लिहिले जाऊ शकते
अविभाज्य घटकांची एकूण संख्या = 30 + 14 + 8
∴ अविभाज्य घटकांची एकूण संख्या 52 आहे.
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