Express $14520$ as a product of prime factors. Given that $14520k$ is a perfect square, write down t

Question

Express $14520$ as a product of prime factors. Given that $14520k$ is a perfect square, write down the smallest positive integer $k$. Find the largest integer which is a factor of $14520$ and $4400$.

Accepted Answer

(a) $2^3\times3\times5\times11^2$ (b) $30$ (c) $440$

Prime Factorisation, Perfect Squares, and Highest Common Factor

Prime Factorisation, Perfect Squares, and Highest Common Factor

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