Skill: Identify multiples of a number

A multiple of a number is found by multiplying that number by a whole number.

For example, the multiples of $6$ are:

$$6\times1=6,\quad 6\times2=12,\quad 6\times3=18,\quad 6\times4=24,\quad 6\times5=30$$

So the sequence is:

$$6,\ 12,\ 18,\ 24,\ 30,\ldots$$

Example: Which numbers in the list are multiples of $6$?

$$8,\ 12,\ 18,\ 20,\ 24,\ 30$$

Check each number against the sequence of multiples of $6$:

1. $8$ is not in the sequence.
2. $(12=6\times2)$, so $(12)$ is a multiple of $6$.
3. $(18=6\times3)$, so $(18)$ is a multiple of $6$.
4. $(20)$ is not in the sequence.
5. $(24=6\times4)$, so $(24)$ is a multiple of $6$.
6. $(30=6\times5)$, so $(30)$ is a multiple of $6$.

Therefore, the multiples of $6$ in the list are:

$$\boxed{12,\ 18,\ 24,\ 30}$$

Remember: a multiple is the answer to a multiplication problem, such as $(6\times4=24)$. A factor is one of the numbers being multiplied, such as $6$ or $4$.