Skill: Identify multiples of a number

A multiple of a number is the result of multiplying that number by a whole number.

For example, the multiples of $6$ are found by multiplying $6$ by $0,1,2,3,\ldots$:

$$6\times0=0,\quad 6\times1=6,\quad 6\times2=12,\quad 6\times3=18,\ldots$$

So the multiples of $6$ begin:

$$0,6,12,18,24,30,36,42,\ldots$$

Example

Is $42$ a multiple of $6$?

1. Ask whether $42$ can be written as $6$ times a whole number.

2. Divide:

$$42\div6=7$$

3. Since $7$ is a whole number, we can write:

$$42=6\times7$$

Therefore, $42$ is a multiple of $6$.

You can also check by skip-counting by $6$: $6,12,18,24,30,36,42$. Because you land exactly on $42$, it is a multiple of $6$.