Question

find the smallest number by which 3568 must be multiplied so that the product is a perfect cube?

Answer 1

Answer:

1/446

Step-by-step explanation:

have a look upon the prime factorisation of 3568

so :- 3568= 2*2*2*2*223.

in order to make 3568 a perfect cube we need to divide this snumber by 2*223 that is 446

or we can say that we have to multiply it by 1/446.

on dividing the number by 1/446 we get 8 and 8 is a perfect cube.

we have to multiply it by 1/446 as if we do so we will get :-

3568*1/446= 2*2*2*2*223/2*223

so 2 and 223 gets cancelled and we get 8 which is a perfect cube.

Answer 2

step 1 . find the prime factorization of 3568

• step 2. make pair of