This set of worksheets is designed to help students develop a strong understanding of prime factorisation. Through completing factor trees, matching numbers to their prime factors, filling in missing prime factors and writing complete prime factorisations, students build fluency in breaking composite numbers into their prime components.

How to Complete

1. Section 1: Students use factor trees to identify the factors of composite numbers.
2. Section 2: Students match numbers to their correct prime factorisations to reinforce recognition skills.
3. Section 3: Students identify missing prime factors for the composite numbers.
4. Section 4: Students record the prime factorisation of composite numbers.

Additional Tips

1. Before starting, review the definitions of factors, prime and composite numbers and demonstrate using factor trees.
2. Encourage students to check their factorisations by multiplying the prime factors to ensure they equal the original number.

Extension Ideas

1. Prime Factorisation Challenges: Ask students to find numbers with specific characteristics, such as a number with exactly three unique prime factors.
2. Patterns in Prime Factors: Have students explore connections between prime factors and divisibility rules.