Q74 / 155 · WBJEE 2022 · Mathematics

The number of zeros at the end of 100! is

  • A
    21
  • B
    22
  • C
    23
  • Correct answer
    D
    24

Solution

$\mathrm{E}_5(100 !)=\left[\frac{100}{5}\right]+\left[\frac{100}{25}\right]+\left[\frac{100}{125}\right]=20+4+0=24$

Hence, the correct answer is option: 'D'.

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