Prime divided by Prime..

LET US SUPPOSE THAT the ratio of 2 distinct prime numbers is AN INTEGER.THEN IT HAS 1 MORE FACTOR AND THEREFORE CANNOT BE PRIME.

Let us suppose that there are two integers $x,y$ such that $\dfrac{x}{y}=k$ for some natural number $k$ now we know that $x=ay$ for some natural number $a$ but a prime number has two factors $1$ and the number itself. As $x,y$ are distinct it is not possible for there to be two such primes

Consider two primes, $p_1$ and $p_2$

For $\dfrac {p_1}{p_2}$ to be an integer, $p_1$ must be a factor of $p_2.$ But this contradicts the fact that $p_2$ is a prime.

Hence, $\dfrac {p_1}{p_2}$ is never an integer.