Foundation June 2024 Paper 2 Q21
21
(a) Write 90 as a product of its prime factors. (2)
\(A = 2^2 \times 3\)
\(B = 2 \times 3^2\)
(b) Write down the lowest common multiple (LCM) of \(A\) and \(B\). (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(2 \times 3 \times 3 \times 5\) | M1 | for a complete method to find prime factors; could be shown on 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, 3, 3, 5 |
| A1 | for \(2 \times 3 \times 3 \times 5\) oe |
Additional guidance
Condone the inclusion of 1 for this mark
Accept \(2 \times 3^2 \times 5\)
| Answer | Mark | Mark scheme |
|---|---|---|
| 36 | B1 | for 36 |
Additional guidance
Accept \(2^2 \times 3^2\) or \(2 \times 2 \times 3 \times 3\)