480 या संख्येच्या एकूण अवयवांची संख्या शोधा.

  1. 12
  2. 24
  3. 48
  4. 36

Answer (Detailed Solution Below)

Option 2 : 24
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Detailed Solution

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दिलेले आहे:

संख्या 480 आहे.

वापरलेले सूत्र:

जर N संख्येचे मूळ अवयवीकरण = a p × b q × c r × ...... 

तर, N च्या अवयवांची एकूण संख्या = (p + 1) × (q + 1) × (r + 1) × ...... .

गणना:

येथे,

480 चे मूळ अवयवीकरण = 25 × 31 × 5

म्हणून, एकूण अवयवांची संख्या = (5 + 1) × (1 + 1) × (1 + 1)

⇒ 6 × 2 × 2

⇒ 24

∴ 480 च्या एकूण अवयवांची संख्या 24 आहे.

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