Let a, b, c be positive integers. Suppose a and b are relatively prime, and that a | bc. Show that a | c.
I know that/have the following:
"Since a | bc, then either a | b or a | c." However I am not sure how to move on from here.
Let a, b, c be positive integers. Suppose a and b are relatively prime, and that a | bc. Show that a | c.
I know that/have the following:
"Since a | bc, then either a | b or a | c." However I am not sure how to move on from here.