Question
Download Solution PDF480 என்ற எண்ணின் காரணிகளின் மொத்த எண்ணிக்கையைக் காண்க.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டுள்ளவை:
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.
Last updated on Jul 21, 2025
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