11.What is the smallest number by which 2560 must be multiplied,so that the product is a perfect cube? *
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Step-by-step explanation:
if 5 is multiplied by 2560 then the product will be a perfect cube .
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Answer:
Take Prime factors of 2560
2560 = 2×2×2×2×2×2×2×2×2×5.
The product has 3 set of 2^3 and a 5.
clearly,to make it a perfect cube , it must be multiplied by 5×5 ie. 25
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