52900 में गुणन खंडों की संख्या ज्ञात कीजिए।

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 1)
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  1. 31
  2. 33
  3. 29
  4. 27

Answer (Detailed Solution Below)

Option 4 : 27
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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दिया गया है:

संख्या = 52900

प्रयुक्त सूत्र:

खंडों की संख्या ज्ञात करने के लिए:

संख्या = pa × qb × rc

कुल गुणनखंड = (a + 1) × (b + 1) × (c + 1)

गणना:

52900 के अभाज्य गुणनखंड:

⇒ 52900 = 22 × 52 × 232

कुल गुणनखंड:

⇒ (2 + 1) × (2 + 1) × (2 + 1)

⇒ 3 × 3 × 3

⇒ 27

∴ सही उत्तर विकल्प (4) है।

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