Question

find the smallest number by which 2560 must be multiplied so that the product is a perfect cube​

Answer 1

Answer:

25

Step-by-step explanation:

Answer 2

Your Answer:

25

Step-by-step explanation:

The Prime Factorization of 2560 is 2⁹ × 5¹.

The pairs are as follows:

2×2×2×2×2×2×2×2×2×5

But 5 does not have any pair and it needs two more 5s. Hence we multiply two 5s.

Since 5×5=25,

25 is the smallest no. by which 2560 must be multiplied so that the product is a perfect cube.

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