Which is the least number that should be multiplied with 108 to make it perfect cube?

Question

Which is the least number that should be multiplied with 108 to make it perfect cube?

Answer 1

2X2x3x3x3 =108.Least number is 2

Answer 2

just factorise 108

u get

   2 *2 *3 *3 *3

so in order to make it a perfect cube just multiply it with 2 so u get 216

which is a perfect cube of 6.

Answer 3

The prime factorization for 108 is 2×2×3×3×3. Now, the closest perfect cube number is 125 or (5)³. But we can't consider this number as the number '5' cannot be used in this case...... So, we've to consider only (6)³, which is 216.

Now, find the relation between 108 and 216 by dividing 216/108. So, the answer is '2'.... The answer says that when '2' is multipied to 108, the result is a number such that it's the nearest perfect cube of 108. Hope that helped.....

Answer 4

2 the given number when multiplied by 2 becomes 216 and is a cube of

6*6*6;

to find the number use factorisation method and  108=2*2*3*3*3

and you observe that multiplying by 2 gives you a  cubic multiple of 2*3

Answer 5

108 =2^2 x3^3

all you need is another 2 to make it 2^3 x3^3 =6^3 =216

Answer 6

Multiply by 2 and you get 216. The cubed root of 216 is 6.