Question

find the smallest number by which 1323 must be multiplied so that product is perfect cube​

Answer 1

Answer:

7

Step-by-step explanation:

On finding the prime factors of 1323

the prime factors are 3×3×3×7×7

=(3×3×3)×7×7

clearly, 1323 must e multiplied by 7

Answer 2

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To find the smallest number by which 1323 must be multiplied so that the product is a perfect cube.

➜ let us find the prime factorization of 1323

➜ $\large\purple{\rm{\underline{\underline {Refer \:to \:the \:attachment}}}}$

$\large{1323 = 3^3 × 7^2}$

Here, 7 is not a Triplet.

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