Question
What number will you multiply by 1323 to make it a cube number?
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Answer
Prime factorization of $1323=\underline{3 \times 3 \times 3} \times 7 \times 7$
Here, there is no triplet of 7.
So, 1323 is not a perfect cube. To make it a cube number, we multiply it by 7 .
$1323 \times 7=\underline{3 \times 3 \times 3} \times \underline{7 \times 7 \times 7}=9261$ which is a perfect square.
Hence, the number by which 1323 needs to be multiplied to make it a cube number is 7 .
Here, there is no triplet of 7.
So, 1323 is not a perfect cube. To make it a cube number, we multiply it by 7 .
$1323 \times 7=\underline{3 \times 3 \times 3} \times \underline{7 \times 7 \times 7}=9261$ which is a perfect square.
Hence, the number by which 1323 needs to be multiplied to make it a cube number is 7 .
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