VC2M5N02 Official strand: Number

Factors, multiples and divisibility

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Connect equal groups, factor products and repeated multiples.

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Which number is the product of factors 4 and 3?

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Answer: 12

  1. 4 × 3 = 12.
  2. Both 4 and 3 divide 12 exactly.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Connect equal groups, factor products and repeated multiples.

Read the official VCAA curriculum description (VC2M5N02)

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Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M5N02-C01A factor divides a natural number exactly. Multiplying its factors rebuilds the product; factors need not be prime.
  2. VC2M5N02-C02Multiples of a positive number are reached by repeatedly adding that number. A divisibility check asks whether the remainder is zero.
  3. VC2M5N02-C03Test possible factors up to the square root and pair each with its quotient. For a square number, count the equal pair once.
  4. VC2M5N02-C04Creating factor representations and communicating divisibility reasoning.

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Subskills

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Descriptor-derived subskills

  1. D01
    Make products from factorsA factor divides a natural number exactly. Multiplying its factors rebuilds the product; factors need not be prime.
  2. D02
    Find multiplesMultiples of a positive number are reached by repeatedly adding that number. A divisibility check asks whether the remainder is zero.
  3. D03
    Find every factor pairTest possible factors up to the square root and pair each with its quotient. For a square number, count the equal pair once.
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