Question

What is a smallest number by which 2560 is to be multiplied so that the product
is a perfect cube?
2 2560​

Answer 1

Answer:

hope it would be helpful for u

Step-by-step explanation:

2560×25 = 64000. which is a perfect cube. hence the smallest no by which 2560 must be multiplied so that product is perfect cube = 5×5=25.

Answer 2

Answer:

Answer

Prime factorising 2560, we get,

2560=2  

9

×5.

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 9 and number of 5's is 1.

So we need to multiply another 5  

2

 in the factorization to make 2560 a perfect cube.

Hence, the smallest number by which 2560 must be multiplied to obtain a perfect cube is 5  

2

=25.

Step-by-step explanation: