Question
Download Solution PDF480 సంఖ్య యొక్క మొత్తం కారణాంకాల సంఖ్యను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన దత్తాంశం:
సంఖ్య 480.
వాడిన సూత్రం:
ఒక సంఖ్య యొక్క ప్రధాన కారణాంకం N = ap × bq × cr × ......
కారణాంకాల మొత్తం సంఖ్య అప్పుడు, N = (p + 1) × (q + 1) × (r + 1) × ......
సాధన:
ఇక్కడ,
480 = 25 × 31 × 51 యొక్క ప్రధాన కారణాంకం
కాబట్టి, కారణాంకాల మొత్తం సంఖ్య = (5 + 1) × (1 + 1) × (1 + 1)
⇒ 6 × 2 × 2
⇒ 24
∴ 480 యొక్క మొత్తం కారణాంకాల సంఖ్య 24..
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