AC9M5N02

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

Elaborations

AC9M5N02_E1using 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 ×12, 2 ×6, and 3 ×4
AC9M5N02_E2researching 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
AC9M5N02_E3using 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
AC9M5N02_E4demonstrating 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 ×7 = 3 ×2 + 3 ×5, and 4 ×7 = 4 ×2 + 4 ×5