4400 Higher November 2006 Paper 4 Q10
10 Express 225 as the product of powers of its prime factors.
(3)
| Scheme | Marks |
|---|---|
| eg \(\begin{array}{r|l} 3 & 225 \\ \hline 3 & 75 \\ \hline 5 & 25 \\ \hline & 5 \end{array}\) | M2 |
| \(3^2 \times 5^2\) | A1 |
| (3) | |
| (3 marks) |
Notes
M2: for full systematic method of at least 3 divisions by prime numbers oe (factor trees)
Condone 1 error
Or for 3 × 3 × 5 × 5 or 3, 3, 5, 5
M1 for 225 written as correct product with only one non-prime