Question

$8064$ is resolved into all possible product of two factors. Find the number of ways in which this can be done?

• A. $24$
• B. $21$
• C. $20$
• D. None of these

Answer 1

The correct option is A $24$

$8064=2^7\times 3^2\times 7$

Resolution of a number into factors (and thier products).

depends on powers of primes.

Number of possible products are

$=(7+1)(2+1)\left(1\right)=8\times 3\times 1=24$