product given is 540.

we need to find S so that 60s divides 540.
Given 60s is factor. So 60s*x =540
we know that 540 = 60*9 = 60*1*9=60*3*3=60*9*1
therefore there are 3 possible values for S

hope this helps!!

Nice to see you again, Komal! Let me try this question.

60*s = 2^2 * 3 * 5 * s

60s is a factor of (2^2)(3^3)(5)

s could take a max value of 9 as 3^2 is left while cancelling out 60. So, s could be 1,3, or 9 (s is a positive integer) if 60s factors out (2^2)(3^3)(5) completely.

Thus, 3 possible values of s.

60 s=2*2*3*5 *s
=2^2*3*5*s
now since 60 *s is a factor of (2^2)(3^3)(5)
(2^2)(3^3)(5) should be completely divisible by 60 *s
so ((2^2)(3^3)(5) ) /2^2*3*5*s
we can say s can either take value 1 or take value 3 and 3^2
so altogether s can take 3 value 1,3,3^2
so answer is D
so s can take value of 1and 3