Question

Which of the following is / are true

• A. 24! is divisible by $2^{18}\times 3^6$
• B. 24! is divisible by $2^{16}\times 5^4\times 3^8$
• C. 24! is divisible by $2^{22}\times 5\times 3^8$
• D. 24! is divisible by $2^{19}\times 5^4\times 3^9$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

24! is divisible by $2^{18}\times 3^6$

B

24! is divisible by $2^{16}\times 5^4\times 3^8$

C

24! is divisible by $2^{22}\times 5\times 3^8$

D

24! is divisible by $2^{19}\times 5^4\times 3^9$

Apply exponent of prime in n!