Given $N=2^3\times3^2\times5$: Decide which of $24,45,54$ are factors of $N$. Justify eac

Question

Given $N=2^3\times3^2\times5$: Decide which of $24,45,54$ are factors of $N$. Justify each answer using prime factors. Find the smallest positive integer $m$ such that $Nm$ is divisible by $54$.

Accepted Answer

(a) $24$ and $45$ is a factor; $54$ is not a factor. (b) $m=3$

Primes, HCF and LCM - Prime Factorisation and Its Applications

Primes, HCF and LCM - Prime Factorisation and Its Applications

Solution:

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