The factorial \((!)\) of a positive integer \(n\) denotes the product of all integers from \(1\) to \(n,\) inclusive. If \(k = 1! + 2! + 3! + \cdots + p!,\) where \(p\) is a prime number greater than \(10,\) what is the remainder when \(k\) is divided by \(4?\)

A. 0

B. 1

C. 2

D. 3

E. 9

Answer: B

Source: e-GMAT