Question

Decide whether the given set of numbers is a commutative group under the given operation. Prime numbers; multiplication
A. Yes

B. No

Answer 1

Is \(2\cdot3\) prime?

Answer 2

i think so

Answer 3

lol..

Answer 4

\(2\cdot3=6\)

6 is not prime. Hence, prime numbers are not a group under multiplication

Answer 5

prime numbers are those numbers which have no other factors than 1 and the number itself..if you multiply 2 prime numbers..then the resultant obviously cant be a prime number..