Question
Download Solution PDFसंख्या 480 के गुणनखंडों की कुल संख्या ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दी गई संख्या 480 है।
प्रयुक्त सूत्र:
यदि एक संख्या N का अभाज्य गुणनखंडन = ap × bq × cr × ......
तो, N के गुणनखंडों की कुल संख्या = (p + 1) × (q + 1) × (r + 1) × ......
गणना:
यहाँ
480 का अभाज्य गुणनखंडन = 25 × 31 × 51
इसलिए, गुणनखंडों की कुल संख्या = (5 + 1) × (1 + 1) × (1 + 1)
⇒ 6 × 2 × 2
⇒ 24
∴ 480 के गुणनखंडों की कुल संख्या 24 है।
Last updated on Jun 13, 2025
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