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 Jul 17, 2025
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> HSSC CET Admit Card 2025 has been released @hssc.gov.in
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.