Question

4. Find the least number which should be multiplied by 25,600 to get a perfect cube. ​

Answer 1

Step-by-step explanation:

prime factorization of 25600 = 2×2×2×2×2×2×2×2×2×2×5×5

= 2^3 ×2^3 ×2^3 ×2 × 5×5

clearly, to make it cube we need two 2 and one 5.

so the required least number to make it perfect cube is 2×2×5

i.e. 20 (ans)