If a = 105 and a^3 = 21 × 25 × 45 × q, what is the value of q?
Choices:
A) 35 B) 42 C) 45 D) 49 E) 54

Rationale: "a = 105 = 3 * 5 * 7 a ^ 3 = 21 × 25 × 45 × q = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x q = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x q = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x q q = 7 ^ 2 = 49 answer d"
Answer: D