Identify multiples of a number

Multiples of a whole number are the products formed by multiplying it by whole numbers, forming a sequence such as $6, 12, 18, 24,\ldots$ ; a number is a multiple of another when it appears in that sequence. This understanding includes identifying multiples in lists, sequences, arrays, or number-line patterns and distinguishing a multiple from a factor, without extending to negative numbers, fractions, or abstract algebraic generalizations.

Detailed Explanation: 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 $6$ :

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

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Finding Lowest Common Multiple

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Identify multiples of a number

Detailed Explanation: Identify multiples of a number

Learn by doing: Identify multiples of a number

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Finding Lowest Common Multiple