- If k is a multiple of 24 but not a multiple of 16, which of the following
cannot be an integer?
A. k/8
B. k/9
C. k/32
D. k/36
E. k/81
Anyone wanna help explain how to do this ? The explanation in 5lb is pretty hard to understand
The answer would be C
Because 24/8=3 , 72/9=8 , 72/36=2 , 641/81=8 , so all are integers except k/32 , as k divided by 32 won’t give an integer.
Prime factorisation of 24 is 2^3,3 and that of 16 is 2^4
As k is a multiple of 24 and not of 16, it can never have 4 2s while 32 is 2^5, so k/32 can never be an integer