Question

The number of ways in which the number 27720 can be split into two factors which are co-prime

• A. $15$
• B. $16$
• C. $25$
• D. $49$

Answer 1

Answer: (B)

$16$

Given $27720=23\times 32\times 5\times 7\times 11$.

Total number of co prime numbers $=5$.

Number of ways in which the number can be split into two factors which are co prime is $=2n-1$ .

$\therefore$ number of ways in which the number $27720$ can be split into two factors which are co prime is $=2^{5-1}=2^4=16$.