Answer with explanation:
It is given that for three integers , a, b and c, if
Since , a b is divisible by c , following are the possibilities
1.→ a and b are prime integers .Then , c will be prime number either equal to a or b.
2.→a and b are not prime integers ,then any of the factors of a or b will be equal to c.For example:
⇒a=m × n
b=p × q× c
or,
⇒a=u×v×c
b=s×t
So, whatever the integral values taken by a, and b, if then either of
is true.