Find the smallest number by which 256 must be multiplied to obtain a perfect cube.​

2 thoughts on “Find the smallest number by which 256 must be multiplied to obtain a perfect cube.​”

1. Answer:

   By prime factorization, 256 can be written as 2

   3

   ×2

   3

   ×2

   2

   by making 2 into groups of 3.

   In the third group, one 2 is missing.

   256=2

   3

   ×2

   3

   ×2

   2

   So, 512=2

   3

   ×2

   3

   ×2

   2

   ×2

   Hence, number 2 must be smallest number that must be multiplied to make it a perfect cube.

   Reply

2. Step-by-step explanation:

   divide by 4 bro . You will get a perfect cube 64

   Reply