Higher November 2023 Paper 1 Q3
3
(a) Write 156 as a product of its prime factors. (2)
(b) Find the highest common factor (HCF) of 156 and 130 (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(2^2 \times 3 \times 13\) | M1 | for a complete method to find prime factors; could be shown in a complete factor tree with no more than one error or by division by prime factors with no more than one error or for 2, 2, 3, 13 (1) |
| A1 | \(2^2 \times 3 \times 13\) or \(2 \times 2 \times 3 \times 13\) oe |
Additional guidance
Condone the inclusion of 1 for this mark
| Answer | Mark | Mark scheme |
|---|---|---|
| 26 | M1 | for a correct factor tree for 130 (or 156 if not credited in part (a)) with no more than one arithmetic error or for listing factors of 156 or 130, at least 4 correct for either (with no more than 1 incorrect in either list), could be in factor pairs or for the prime factors of 130 (2, 5, 13) (or 156 if not credited in part (a)) or identifies a common factor other than 1 (2 or 13) |
| A1 | cao |
Additional guidance
Condone the inclusion of 1 for this mark
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1, 2, 5, 10, 13, 26, 65, 130