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# Mathematics / Year 5 / Number

Version 9
Curriculum content descriptions

express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another (AC9M5N02)

Elaborations
• using a certain number of blocks to form different rectangles and using these to list all possible factors for that number; for example, $$12$$ blocks can form the following rectangles: $$1 \times 12, 2 \times 6$$, and $$3 \times 4$$
• researching divisibility tests and explaining each rule using materials; for example, using base-$$10$$ blocks to test if numbers are divisible by $$2, 5$$ and $$10$$
• using divisibility tests to determine if larger numbers are multiples of one-digit numbers; for example, testing if $$89$$ $$472$$ is divisible by $$3$$ using $$8 + 9 + 4 + 7 + 2=30$$ as $$30$$ is divisible by $$3$$ then $$89$$ $$472$$ is a multiple of $$3$$
• demonstrating and reasoning that all multiples can be formed by combining or regrouping; for example, multiples of $$7$$ can be formed by combining a multiple of $$2$$ with the corresponding multiple of $$5$$; $$3 \times 7 = 3 \times 2 + 3 \times 5$$, and $$4 \times 7 = 4 \times 2 + 4 \times 5$$
General capabilities
• Numeracy Numeracy
ScOT terms

Positive integers,  Factors

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