examday

/TMUA

A squarefree integer is a positive integer which isn't divisible by the square of a prime. Which of these statements about squarefree integers is correct?

1. A squarefree integer with $n$ prime factors has $2^n$ factors.

2. The product of two squarefree integers is always squarefree

3. A squarefree integer cannot be a power of $36$.