Recall that a factor of a number divides the original number and leaves no remainder. For example, $4$ and $6$ are factors of $12$.  

1. Find all factors of $24$.

   Hint (a):

   Remember that factors go together.
   For example, if $12$ goes into $24$ exactly twice, then $2$ must go into $24$ exactly $12$ times.
   This might help you go faster.

2. Find the smallest number that has $1$, $2$, $3$, $4$, and $5$ as factors.

   Hint (b):

   Because $5$ is a factor, we know that it has to be a multiple of $5$.
   Because $2$ is also a factor, we know that the number has to be a multiple of $10$.
   Because $3$ is also a factor, we know that the number has to be a multiple of $30$.
   What is the first multiple of $30$ that is divisible by $4$?

3. Find the second smallest number that has $1$, $2$, $3$, $4$, and $5$ as factors.

   Hint (c):

   After reading the hint to part (b), answer the following question: What is the second multiple of $30$ that is divisible by $4$?