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Identify multiples of a number

A multiple of a whole number is a product formed by multiplying that number by another whole number, including 0; for example, 24 is a multiple of 6 because 6×4=246 \times 4=24. The learner identifies multiples by counting in equal groups, using multiplication facts or checking whether division gives a whole-number quotient with no remainder, primarily for whole numbers within 100, without extending to least common multiples or more advanced generalizations.

Detailed Explanation: Identify multiples of a number

A multiple is the answer you get when you multiply a number by a whole number, including 00.

To check whether a number is a multiple of another number:

  1. Multiply the given number by (0,1,2,3,)(0, 1, 2, 3,\ldots), or count by that number.
  2. See whether you reach the number you are checking.
  3. You can also divide. If the quotient is a whole number with no remainder, it is a multiple.

Example: Is (36)(36) a multiple of 66?

Count by 66:

6, 12, 18, 24, 30, 366,\ 12,\ 18,\ 24,\ 30,\ 36

You reached (36)(36), so (36)(36) is a multiple of 66.

Using multiplication:

6×6=366 \times 6=36

Because 66 was multiplied by the whole number 66, (36)(36) is a multiple of 66.

You can check with division:

36÷6=636 \div 6=6

The answer is a whole number with no remainder, so (36)(36) is a multiple of 66.

Learn by doing: Identify multiples of a number

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Counting in Groups - Pictures and Skip Count (Specific Image)


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