Question

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

Answer 1

Answer:

2560×25 = 64000 is a perfect cube

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Answer 2

Answer:

25

Explanation

We Should use prime Factorisation

So after doing prime factorisation i get this result

I can't do prime factorisation here as i don't know how to do so

I get the results like this

2*2*2*2*2*2*2*2*2*5

Here we can see 5 is not in pair of three two 5'es are missing

So we have to multiply it with 25 to make it perfect cube ( 25 =product of 5*5 which were missing)

Hope it helped you

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