जर संख्या 810 × 97 × 78 च्या स्वरूपात असेल तर दिलेल्या संख्येच्या अविभाज्य घटकांची एकूण संख्या शोधा.

  1. 52
  2. 560
  3. 3360
  4. 25

Answer (Detailed Solution Below)

Option 1 : 52
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Detailed Solution

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दिलेले:

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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