Foundation June 2022 Paper 2R Q19
19 Write 1200 as a product of powers of its prime factors.
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| eg 2 × 2 × 300 2 × 5 × 120 2 × 3 × 200 3 × 5 × 80 or eg  | M1 |
2, 2, 2, 2, 3, 5, 5 or | M1 |
| \(2^4 \times 3 \times 5^2\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for at least 2 correct stages in prime factorisation which give 2 prime factors – may be in a factor tree or a table or listed eg 2, 2, 300 (allow no more than one mistake ft (eg one mistake with 2 prime factors ft 1200 = 20 × 600 = 2 × 10 × 3 × 200))
M1: for finding the correct prime factors condone inclusion of 1 (may be seen in a fully correct factor tree or ladder)
A1: (dep on M2 as working requested)
Can be in any order (allow \(2^4 \,.\, 3 \,.\, 5^2\)) but must be in index form as asked for.