Find the prime factorization of $2772$, expressing your answer in index notation. Given that the p

Question

Find the prime factorization of $2772$, expressing your answer in index notation. Given that the prime factorization of $4200$ is $2^{3} \times 3 \times 5^{2} \times 7$, find the highest common factor of $2772$ and $4200$. Find the smallest positive integer $k$ such that $(2772 \times 4200k)$ is a square number.

Accepted Answer

(a) $2^2\times3^2\times7\times11$ (b) $84$ (c) $k=66$

IP1U1 SWII Q11

IP1U1 SWII Q11

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