Prime Factorisation and Its Applications

Prime Factorisation and Its Applications

TGM Original Questions
  1. Express \(272\ 250\) as the product of its prime factors.
  2. Find the smallest positive integer \(k\) such that \(\sqrt{\frac{272\ 250}{k}}\) is an integer.
  3. Find the smallest positive integer \(q\) such that \(272\ 250q\) is a multiple of \(350\).

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Answer:(a) \(2\times3^2\times5^3\times11^2\) (b) \(10\) (c) \(7\)

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