Higher November 2020 Paper 1 Q10
10 \(A = 2 \times 3^{43}\)
\(B = 16 \times 3^{37}\)
(a) Find the highest common factor (HCF) of \(A\) and \(B\). (1)
(b) Express the number \(A \times B\) as a product of powers of its prime factors.
Give your answer in its simplest form. (2)
Give your answer in its simplest form. (2)
| Scheme | Marks |
|---|---|
| \(2 \times 3^{37}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(2 \times 3^{43} \times 2^4 \times 3^{37}\) or \(2^5 \times 3^p\;(p \neq 80)\) or \(2^q \times 3^{80}\;(q \neq 5)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(2^5 \times 3^{80}\) | A1 |
| (2) | |
| (3 marks) |