If ppp is a prime number and p∣(x⋅y)p \mid (x \cdot y)p∣(x⋅y), which statement must be true?
p∣xp \mid xp∣x (i.e., ppp divides xxx)
p∣yp \mid yp∣y (i.e., ppp divides yyy)
p∣xp \mid xp∣x OR p∣yp \mid yp∣y (i.e., ppp divides at least one of them)
p∣xp \mid xp∣x AND p∣yp \mid yp∣y (i.e., ppp divides both)