1. Factors, multiple, primes: Types of numbers from prime factors
True/false
Reflect
Your Turn
5 2 × (Square / Cube / Neither)
2× 5 2 × (Square / Cube / Neither)
2 2 × 5 2 × (Square / Cube / Neither)
Rule

2. Product of prime factors
Square number
Cube number
Neither
2×3
3×3
3 2
3 3
3 3 ×7
3 3 × 7 2
3 3 × 7 3
3 2 × 7 2
5 2 × 7 2
2× 5 2 × 7 2
2 2 × 5 2 × 7 2
2 3 × 5 2 × 7 2
2 3 × 5 3 × 7 3
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3. Product of prime factors
Square number
Cube number
Neither
2 4 × 5 4 × 7 4
2 5 × 5 5 × 7 5
2 6 × 5 6 × 7 6
2 7 × 5 7 × 7 7
2 8 × 5 8 × 7 8
2 9 × 5 9 × 7 9
2 9 × 5 9 × 7 6
2 2 × 5 9 × 7 6
2 3 × 5 9 × 7 6
2 6 × 5 18 × 7 12
2 6 × 5 18 × 7 12 ×11
2 6 × 5 18 × 7 12 × 11 2
2 6 × 5 18 × 7 12 × 11 3
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4.  Product of prime factors Square number Cube number Neither 2×3 3×3
3 2
3 3
3 3 ×7
3 3 × 7 2
3 3 × 7 3
3 2 × 7 2
5 2 × 7 2
2× 5 2 × 7 2
2 2 × 5 2 × 7 2
2 3 × 5 2 × 7 2
2 3 × 5 3 × 7 3
@mrbartonmaths

5. Product of prime factors
Square number
Cube number
Neither
2 4 × 5 4 × 7 4 
2 5 × 5 5 × 7 5
2 6 × 5 6 × 7 6
2 7 × 5 7 × 7 7
2 8 × 5 8 × 7 8
2 9 × 5 9 × 7 9
2 9 × 5 9 × 7 6
2 2 × 5 9 × 7 6
2 3 × 5 9 × 7 6
2 6 × 5 18 × 7 12
2 6 × 5 18 × 7 12 ×11
2 6 × 5 18 × 7 12 × 11 2
2 6 × 5 18 × 7 12 × 11 3
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6. Your Turn Product of prime factors Square number Cube number Neither
5 2 ×11
5 2 × 11 8
5 6 × 11 8
5 6 × 11 9
5 6 × 11 9 × 17 13
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7. Your Turn - answers Product of prime factors Square number Cube number
Neither
5 2 ×11 
5 2 × 11 8
5 6 × 11 8
5 6 × 11 9
5 6 × 11 9 × 17 13
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