Question

By which smallest number must 4400 be multiplied to make it a perfect cube?​

Answer 1

Answer:

16.3864254 is the correct answer

Answer 2

Given,

Number $\[ = 4400\]$

Solution,

Calculate the factor of given number,

$\[\begin{array}{l}4400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 11\\ \Rightarrow 4400 = {2^3} \times 2 \times {5^2} \times 11\end{array}\]$

Number required to make it perfect cube,

$\[\begin{array}{l} = {2^2} \times 5 \times {11^2}\\ = 4 \times 5 \times 121\\ = 2420\end{array}\]$

Hence the smallest number is 2420 which when multiplied to 4400 makes it perfect cube.