4MA0 Foundation June 2016 Paper 2 Q19
19 Express 560 as a product of powers of its prime factors.
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| Eg 2, 2, 140 or 2, 2, 2, 70 or 2, 2, 2, 2, 35 or 2, 2, 2, 7, 10 or 2, 2, 7, 20 or 2, 7, 40 or 2, 5, 56 | M1 |
| A1 | |
| \(2^4 \times 5 \times 7\) | A1 |
| (3) |
Notes
M1: For factors that multiply to 560 and include at least 2 prime factors (can be implied from factor tree or repeated division.
A1: Dep on M1
2, 2, 2, 2, 5, 7 (condone inclusion of 1). This can be implied in a factor tree or by repeated division.
A1: Dep on M1
NB: Candidates showing no working score M0A0