40 ची घटक संख्या शोधा.

  1. 2
  2. 6
  3. 8
  4. 12

Answer (Detailed Solution Below)

Option 3 : 8
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वापरलेली संकल्पना:

कोणत्याही संख्येची घटकांची संख्या शोधण्यासाठी आपण त्या संख्येचे प्रथम घटकीकरण करतो.

जर X = p1× p2b तर,

X च्या घटकांची संख्या = (a + 1) × (b + 1)

जेथे, p1, p2 → X च्या मूळ घटकांची संख्या

गणना:

आता, 40 = 23 × 51

⇒ 40 ची घटक संख्या = (3 + 1) × (1 + 1) = 4 × 2 = 8

40 च्या घटकांची संख्या 8 आहे.

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