Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.
243
243
Prime Factorization:
⇒ 243 = 3 × 3 × 3 × 3 × 3
= 33 × 32
There are only two 3’s.
∴ 243 is not a perfect cube.
To make it a perfect cube, we multiply it with 3.
⇒ 243 × 3 = 729
= 3 × 3 × 3 × 3 × 3 × 3
= 33 ×33 which is a perfect cube
∴ The smallest number by which the number 243 must be multiplied to obtain a perfect cube is 3.
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