represent natural numbers as products of powers of prime numbers using exponent notation

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

• applying knowledge of factors to strategies for expressing natural numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees; for example, \(48=6\times8=2\times3\times2\times2\times2=3^1\times2^4=3\times2^4\)
• developing familiarity with the sequence \(1, 2, 4, 8, 16, 32, 64, 128, 256, 512\) and powers of \(2\); the sequence \(1, 3, 9, 27, 81, 243, 729\) and powers of \(3\); and the sequence \(1, 5, 25, 125, 625\) and powers of \(5\)
• solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of natural numbers by comparing their prime factorisation