WBJEE · Maths · Basic of Mathematics
If \(1000!=3^n \times m\) where \(m\) is an integer not divisible by 3 . then \(n=\)
- A 498
- B 298
- C 398
- D 98
Answer & Solution
Correct Answer
(A) 498
Step-by-step Solution
Detailed explanation
Hint: \(E_3(1000!)=\left[\frac{1000}{3}\right]+\left[\frac{1000}{3^2}\right]+\left[\frac{1000}{3^3}\right]+\left[\frac{1000}{3^4}\right]+\left[\frac{1000}{3^5}\right]+\left[\frac{1000}{3^6}\right]=498\)
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