Find the number of trailing zeros in 15620!

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UP Police SI (दरोगा) Official PYP (Held On: 27 Nov 2021 Shift 3)
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  1. 3800
  2. 3600
  3. 3700
  4. 3900

Answer (Detailed Solution Below)

Option 4 : 3900
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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:

We need to find the number of trailing zeros in 15620!

Formula used:

Number of trailing zeros = ⌊n/5⌋ + ⌊n/25⌋ + ⌊n/125⌋ + ⌊n/625⌋ + ⌊n/3125⌋ + ...

Calculations:

⌊15620/5⌋ = 3124

⌊15620/25⌋ = 624

⌊15620/125⌋ = 124

⌊15620/625⌋ = 24

⌊15620/3125⌋ = 4

⌊15620/15625⌋ = 0

Total = 3124 + 624 + 124 + 24 + 5 = 3900

∴ Number of trailing zeros in 15620! = 3900

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