If integer k is equal to the sum of all even multiples of 25 between 295 and 615, what is the greatest prime factor of k?
Choose the correct choice from the following answers:	A) 5	B) 7	C) 11	D) 13	E) 17

Rationale: if we break down what the stem is asking what is the sum of all mult of 50 between 300 and 600 . using arithmetic progression to find n : 600 = 300 + ( n - 1 ) 50 300 + 50 = 50 n 350 = 50 n = > n = 7 the sum would be : 11 * mean mean = [ 600 + 300 ] / 2 = 450 7 * 450 = 4950 b
Answer: B