What is the smallest whole number that can be multiplied by 300 such that the product is a perfect cube?
2 answers:
The smallest whole number that can be multiplied by 300 so that the product is a perfect cube is 12 (I think)
300=2×2×5×5×3
We observe that 2 and 5 are grouped in pairs and the 3 is left unpaired.
If we multiply 300 by the factor 3 then
300×3=2×2×5×5×3×3
900=2×2×5×5×3×3 which is a perfect square.
∴ Required number is 3
root of 900 =30
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