Question

what is the smallest number by which the 9408 must be divided so that the quotient is a perfect cube ​

Answer 1

Answer:

=3 is the smallest number by which you can divide 9408 to make 9408 a perfect square

Step-by-step explanation:

prime factorize 9408

9408=2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 3

pair all the simillar prime numbers

only three does not have a pair so

9408 ÷ 3 = 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 3

so 3÷ 3 = 0

therefore 9408 ÷ 3 = 3136

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