If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w? Options:  A) 198  B) 288  C) 363  D) 360  E) 484
I will go with 360 (pending elements to match is 2^2*3^2*10^1 = 360
<result>D</result>
If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?