IP1U1 1.4 Exercise Q6

Express \(3780\) as the product of its prime factors.

Find the smallest positive integer \(p\) such that \(3780p\) is a perfect cube.

Find the smallest positive integer \(q\) such that \(3780q\) is a multiple of \(350\).

The lowest common multiple of \(3780\) and integer \(k\) is \(7560\). The highest common factor of \(3780\) and integer \(k\) is \(60\). Find the smallest possible positive integer value of integer \(k\).