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

How Bloomi helps with this

This is a NAPLAN-year topic. Bloomi teaches it with a short explainer, guided practice, and NAPLAN-style questions — every one traceable to this exact code.

What this looks like in the classroom

• 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 \(3\)