Question

What is the smallest no. that should be multiplied by 2560 to make it a cube

Answer 1

Answer:

25

Step-by-step explanation:

2560=2×2×2×2×2×2×2×2×2×5

=(2×2×2)^3 ×5

We can see that there is no triplet of 5 when we do prime factorization of 2560 so we multiply 2560 by 5×5=25.

Hence the smallest number by which 2560 must be multiplied to make it a perfect cube is 25