Question
Download Solution PDF720 के गुणनखंडों की संख्या कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त अवधारणा:
यदि N = ap × bq × cr...
तब गुणनखंडों की संख्या = (p + 1)(q + 1)(r + 1).....
गणना:
प्रश्नानुसार,
सर्वप्रथम संख्या 720 का अभाज्य गुणनखंडन करने पर,
720 = 24 × 32 × 51
अवधारणा के साथ तुलना करने पर,
p = 4, q = 2 और r = 1
गुणनखंडों की संख्या = (4 + 1)(2 + 1)(1 + 1)
⇒ 5 × 3 × 2 = 30
∴ 720 के गुणनखंडों की संख्या 30 है।
Last updated on Apr 30, 2025
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