Is a multiple of the prime number 3 also a prime number?

2 Answers
Feb 20, 2017

No

Explanation:

A multiple of the prime number 3 is not also a prime number because since it is a multiple, it is something like 3#xx##n# for any number #n#. For example, 6 is a multiple of 3 and it is composite, not prime. Also, 9 is 3#xx#3 and it is not prime.

Feb 20, 2017

Only #1xx3 = 3# itself.

Explanation:

A prime number is a number whose only whole factors are #1# and itself.

The only positive integral multiple of #3# which is a prime number is #1xx3 = 3# itself.

Any larger multiple is composite since it will be a multiple of #3# and another whole number larger than #1#.