Question

The exponent of 3 in (100) ! is

• A. 33
• B. 44
• C. 48
• D. 52

Answer 1

Answer: (C)

48

Answer 2

$\left\lbrack \frac{100}{3} \right\rbrack$+$\left\lbrack \frac{100}{3^{2}} \right\rbrack$+$\left\lbrack \frac{100}{3^{3}} \right\rbrack$+$\left\lbrack \frac{100}{3^{4}} \right\rbrack$ + ...

= 33 + 11 + 3 + 1

= 48