Question

7. Find the smallest number by which 11979 must be multiplied so that the product is a perfect cube.

Answer 1

Given: The number 11979

To find: The smallest number by which 11979 must be multiplied so that the product is a perfect cube.

Solution:

• Now we have given the number 11979.

• Taking the factors,  we get:

               3 |    11979

               3 |    3993

               11 |    1331

               11 |    121

               11 |    11

                   |    1

• So the factors are:

             11979 = 3 x 3 x 11 x 11 x 11

• Now if we multiply it by 3, so it will become the perfect cube.

             11979 x 3 = 35937

• And the cube root is:

             ∛35937 = 33

Answer:

           So the number to be multiplied is 3.