Discrete math(Divisors and primes) Is the following statement true or false?Explain.
There are integers $x,y,$ and $z$ such that $14$ divides $2^x  × 3^y ×  5^z$.
My guess is false but I don't know how to explain it?Does it have anything to do with the fundamental theorem of arithmetic?

Here's an intuitive explanation
Yes $14$ does not divide $2^x  × 3^y ×  5^z$ for any integers $x,y,z$ because 
$14=2 × 7$ 
Since there are no seven's  in the expression..It will never fully divide it
