Express $1350$ as a product of prime factors. [1] Given that $P=2^{2} \times 3^{2} \times 7$, fi

Question

Express $1350$ as a product of prime factors. [1] Given that $P=2^{2} \times 3^{2} \times 7$, find the HCF of $1350$ and $P$. [1] Find the smallest integer $k$ such that $Pk$ is a perfect cube. [1]

Accepted Answer

(a) $1350=2\times 3^3\times 5^2$ (b)$54$ (c) $k=98$

Algebraic Expressions, Identities and Formulae

Algebraic Expressions, Identities and Formulae

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