Higher January 2019 Paper 1R Q9
9 \(N = 480 \times 10^9\)
(a) Write \(N\) as a number in standard form. (1)
(b) Write \(N\) as a product of powers of its prime factors.
Show your working clearly. (3)
Show your working clearly. (3)
(c) Find the largest factor of \(N\) that is an odd number. (1)
| Scheme | Marks |
|---|---|
| \(4.8 \times 10^{11}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(2^{14} \times 3 \times 5^{10}\) | B3 |
| B2 | |
| B1 | |
| (3) |
Notes
B3: for the correct answer
B2: for an answer in the form \(2^m \times 3 \times 5^n\), where \(m\) and \(n\) are positive integers
B1: for at least 2 correct steps in repeated prime factorisation ( including tree diagram)
| Scheme | Marks |
|---|---|
| 29 296 875 | B1 |
| (1) | |
| (5 marks) |
Notes
B1: Accept \(3 \times 5^{10}\), \(2.9296875 \times 10^7\)