Question
Download Solution PDF1680 में गुणांकों की संख्या ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
संख्या = 1680
प्रयुक्त सूत्र:
गुणांकों की संख्या = (e1 + 1) × (e2 + 1) × ... × (en + 1), जहाँ e1, e2, ..., en संख्या के अभाज्य गुणनखंडों की घातें हैं।
गणना:
चरण 1: 1680 का अभाज्य गुणनखंडन
1680 = 24 × 31 × 51 × 71
चरण 2: गुणांकों की संख्या के लिए सूत्र लागू करें:
गुणांकों की संख्या = (4 + 1) × (1 + 1) × (1 + 1) × (1 + 1)
⇒ गुणांकों की संख्या = 5 × 2 × 2 × 2
⇒ गुणांकों की संख्या = 40
1680 के गुणांकों की संख्या 40 है।
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