The question - with the second alternative - is tautological (m = n).
The product is positive
Either it is a prime or put m = n! Is that it?
There is no prime number times another prime number that equals 40.
The product of two prime numbers can never be another prime number, the numbers that you multiplied are factors of the product. (example, 9 times 5 is 45, 9 and 5 go into 45)
As a product of its prime factors: 5*7*11 = 385
22 is a composite number because it can be produced from the product of 2 times by 11.Prime numbers are ones that are the product of themselves times by one alone example 3 is a prime cos' it is 3 times 1 only this alone.It's a composite number. It cannot be prime because it is divisible by two.
How about: 3*5 = 15 as a product of its prime factors
3 times 13
5 times 37
12
As a product of its prime factors: 7*13 = 91
As a product of its prime factors in exponents: 2^4 times 5^5 = 50,000