The numbers $54$ and $468$, written as the product of their prime factors, are \(54=2\times {{3}

Question

The numbers $54$ and $468$, written as the product of their prime factors, are $54=2\times {{3}^{3}}$ and $468={{2}^{2}}\times {{3}^{2}}\times 13$. Find the smallest positive integer, $m$ such that $468m$ is a perfect square, the largest integer, which is a factor of both $54$ and $468$, the smallest positive integer, $n$ such that $54n$ is a multiple of $468$.

Accepted Answer

(a) $13$ (b) $18$ (c) $26$

Applications of Prime Factorisation in Number Problems

Applications of Prime Factorisation in Number Problems

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