480 என்ற எண்ணின் காரணிகளின் மொத்த எண்ணிக்கையைக் காண்க.

  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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கொடுக்கப்பட்டுள்ளவை:

கொடுக்கப்பட்ட எண் 480.

பயன்படுத்தப்பட்ட சூத்திரம்:

N என்ற எண்ணின் பகாக் காரணியாக்கம் = ap × bq × cr × ...... எனில் 

Nஇன் காரணிகளின் மொத்த எண்ணிக்கை = (p + 1) × (q + 1) × (r + 1) × ......

கணக்கீடு:

இதில்,

480இன் பகாக் காரணியாக்கம் = 25 × 31 × 51

எனவே, காரணிகளின் மொத்த எண்ணிக்கை = (5 + 1) × (1 + 1) × (1 + 1)

⇒ 6 × 2 × 2

⇒ 24

480இன் காரணிகளின் மொத்த எண்ணிக்கை 24.

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