Foundation November 2024 Paper 3 Q16
16
(a) Write 126 as a product of its prime factors. (2)
(b) Find the highest common factor (HCF) of 126 and 210 (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(2 \times 3^2 \times 7\) | M1 | for a complete factor tree with no more than one arithmetic error or 2, 3, 3, 7 |
| A1 | accept \(2 \times 3 \times 3 \times 7\) |
Additional guidance
Condone the inclusion of 1 for this mark
| Answer | Mark | Mark scheme |
|---|---|---|
| 42 | M1 | for a complete factor tree for 210 (or 126 if not credited in part (a)) with no more than one arithmetic error or for listing factors of 126 or 210, 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 210 (2, 3, 5, 7) (or 126 if not credited in part (a)) |
| A1 | accept \(2 \times 3 \times 7\) SCB1 for answer of 2 or 3 or 6 or 7 or 14 or 21 if M0 scored |
Additional guidance
Condone the inclusion of 1 for this mark
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Prime factors may be seen in a diagram eg a Venn diagram