Back to the Basics in Mathematics #1
Number Theory
Level
1
The Product of two prime numbers is a _ _ ?
Even Number
Odd Number
Prime Number
Composite Number
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
When two prime numbers are multiplied together, the result is NO LONGER prime as the product would already have factors other than 1 and itself - that is the 2 numbers involved in the multiplication. Now we can be sure that 1 CANNOT be either of the 2 numbers involved as 1 is NOT a prime number. Therefore it suffices to say that the product will have factors other than 1 and itself. In other words, it is c o m p o s i t e .
Now it is INCONCLUSIVE as to whether the number is odd or even as NOT all primes are odd so the product need not necessarily be odd. Remember there is ONE even prime, that is 2. So the product can be even or odd, we cannot say for sure.