Question

Find the smallest number by which each of the following must be multiplied to obtain a perfect cube of 288

Answer 1

Answer:

prime factorization of 288:

288=2×2×2×2×2×3×3

Step-by-step explanation:

We observe that if 288 is multiplied by (2 x 3), then its prime factors will exist in triples. Thus, the required smallest number by which 288 be multiplied to make it a perfect cube i: (2 x 3), i.e. 6.

Answer 2

$2 \times 2 \times 2 \times 6 \times 6 \\ 6 \: is \: the \: smallest \: number \: by \: which \: number \: be \: multiplied \: to \: get \: perfect \: cube \:$