Question

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube
(i) 243​

Answer 1

Answer:

3

Step-by-step explanation:

Prime factorizing 243, we get,

243=3×3×3×3×3=3

5

.

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 3's is 5.

So we need to multiply another 3 in the factorization to make 243 a perfect cube.

Hence, the smallest number by which 243 must be multiplied to obtain a perfect cube is 3.