Why is the product of any two rational numbers a rational number?

Rational numbers are represented in the form of p/q , where p is an integer and q is not equal to 0.
Every natural number, whole number and integer can be represented as rational number.
For example take the case of integer -3, it can be represented in the form of p/q as -3/1 and q is not equal to zero, which means that rational numbers consist of counting numbers, whole numbers and integers.
Now, what will be the result of product of any two rational numbers?
Let us take the case of two rational numbers which are x/y & w/z, their product is equal to
xw/yz, which is a rational number because multiplication of x and w results in an integer and also multiplication of y and z results in an integer which satisfies the property of rational numbers, which is in the form of p/q.
So, product of any two rational numbers is a rational number.