Find the number by which 2560 must be multiplied so that the product is a perfect cube.
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There could be many such numbers.
If N = 1/2560 then
N x 2560 = 1
If assuming N as natural number,
N = 390625
390625 x 2560 = 1000 000 000
If N = 1/2560 then
N x 2560 = 1
If assuming N as natural number,
N = 390625
390625 x 2560 = 1000 000 000
Shr111:
Sorry, but the answer in my book is 25.
infinite numbers are possible.
25 x 2560 = 64000 = 40^3
Hey sorry. Actually I missed a word in my question. We have to find the smallest number. Its my fault. Sorry.
it's ok.. the trick is you have to do this by trial method. since 2560 ends with zero... => answer will be multiple of 5. start by putting 5 and go all the way upto 10, 15, 20, 25..
Ok thanks.
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