Find the number of factors in 52900.

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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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Detailed Solution

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Given:

Number = 52900

Formula used:

To find the number of factors:

Number = pa × qb × rc

Total factors = (a + 1) × (b + 1) × (c + 1)

Calculation:

Prime factorization of 52900:

⇒ 52900 = 22 × 52 × 232

Total factors:

⇒ (2 + 1) × (2 + 1) × (2 + 1)

⇒ 3 × 3 × 3

⇒ 27

∴ The correct answer is option (4).

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