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 positive integer $k$ such that $Pk$ is a perfect cube. [1]

Accepted Answer

(a) $1350=2\times3^3\times5^2$. (b) $18$. (c) $k=294$.

Primes, HCF and LCM - Highest Common Factor and Its Applications

Primes, HCF and LCM - Highest Common Factor and Its Applications

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