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Is the product of 2 numbers a prime number?

Updated: 4/28/2022

Wiki User

14y ago

The product of two numbers could be either a composite number or a Prime number. If one of those numbers is 1 and the other is a prime number, the result is that prime number. If neither number is 1, the product of the two numbers will be a composite number. If one of those numbers is 1 and the other is not a prime number, the product will not be a prime number. So, in most cases, it will be a composite number.

Wiki User

14y ago

Wiki User

13y ago

No.

If two prime numbers are multiplied, then the result is a composite number.

Reason 1:

If you multiplied two numbers, that number's factors includes the numbers you multiplied by.

Reason 2:

A prime number cannot be divided into two numbers beside 1 and itself.

1 is not a prime number or a composite number by definition. If 1 was a prime number, then the product of 1*1 is 1, and 1 is a prime number, but 1 isn't a prime number.

Duane Anymouse

Lvl 9
3y ago

Discounting the exception where the two numbers are 1 and some prime, products of two numbers will not result in a prime number. That results because that result, whatever it might be, will be divisible by 2, in addition to 1 and itself. And as it's divisible by two it's not a prime.

So, no, in general a product of two numbers will not be a prime result. ANS.