Question

find the smallest number by which 92 must be divided to obtain a perfect cube​

Answer 1

Answer:

• Given: The number 92.

• To find: The smallest number by which 92 numbers must be multiplied to obtain a perfect cube​.

Solution:

• Now we have given the number as 92.

• The factors of 92 are:
•                   2   | 92

                  2   | 46

                  23 | 23

                        | 1

So the factors are:

               92 = 2 x 2 x 23

So multiplying 2 and 23 x 23 to the factors we can obtain a perfect cube .

So :

•                2 x 2 x 23 x 2 x 23 x 23 = 97336 = (46)³

Solution:

              The smallest number by which 92 numbers must be multiplied to obtain a perfect cube​ is 1058.

Step-by-step explanation: