Author note — to cover

Writing numbers up to four digits as products of primes by factor tree or repeated division, answered in index form; N4 names product notation and the unique factorisation theorem, so state uniqueness. HCF, LCM and square-making applications live on their own pages. Both tiers. (N4)

• Fluency — direct questions on prime factorisation, limited to this lesson's stated scope (4 questions).
• Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
• Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).