Here is quiz 1.
Problem 1 is False. This is because the number 1 is neither prime nor composite.
Problem 2 is False. This is because we can have in which case but For example, consider
For problem 3, start by writing the number as a product of primes: Plainly, any positive divisor of must have the form where or similarly, or ; or and or There are 8 possibilities for 5 for 2 for and 2 for This gives us a total of possible positive divisors.