720 या संख्येच्या अवयवांची संख्या किती असेल?

  1. 25
  2. 30
  3. 35
  4. 10

Answer (Detailed Solution Below)

Option 2 : 30
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Detailed Solution

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वापरलेली संकल्पना:

जर N = ap × bq × cr...

आता घटकांची संख्या = (p + 1)(q + 1)(r + 1).....

गणना:

प्रश्नानुसार,

प्रथम मुख्य अवयव पाडावयाची संख्या 720,

720 = 24 × 32 × 51

संकल्पनेशी तुलना करताना,

p = 4, q = 2 आणि r = 1

अवयवांची संख्या = (4 + 1)(2 + 1)(1 + 1)

⇒ 5 × 3 × 2 = 30

∴ 720 च्या अवयवांची संख्या 30 आहे.

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