If n=t^3 , when n and t are positive integers and 8, 9, 10 are each factors of n, which of the following must be a factor of n?	Choose one:
A) 16
B) 175
C) 225
D) 275
E) 625
n = 8p,n = 9q and n = 10r.Thus,n^3=t^6=2^4∗3^2∗5∗[k is some positive integers]   Thus, for t to be a positive integer, k must atleast have the value = 2^2∗3^4∗5^5   Thus,n=t3=2^3∗3^2∗5^2∗y[y is a positive integer]   225 is definitely a factor of n.   ANSWER:225
<result>C</result>
If n=t^3 , when n and t are positive integers and 8, 9, 10 are each factors of n, which of the following must be a factor of n?