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Logical mathematical reasoning/Razonamiento lógico matemático. x7

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AdrenalineXV:
And we are at it again.

What is the lowest number that multiplied by 18 gives a perfect cube as a product?  Regards.

¿Cuál es el menor número que multiplicado por 18 da un cubo perfecto como un producto?  Saludos cordiales.

[MAF]mooman:
18 is 2*3*3 so the lowest perfect cube containing it would be 2*2*2*3*3*3 = 216 meaning you have to multiply it by 2*2*3 = 12.

AdrenalineXV:

--- Quote from: [MAF]mooman on April 07, 2015, 11:49:48 pm ---18 is 2*3*3 so the lowest perfect cube containing it would be 2*2*2*3*3*3 = 216 meaning you have to multiply it by 2*2*3 = 12.

--- End quote ---
Thank you mooman, but I do not get it. I just understand 18 is 2*3*3, but why do you go to 2*2*2*3*3*3 = 216? Regards.

[MAF]mooman:
A perfect cube must have each of its factors repeated 3 times. It could also be written as (2*3)^3=6^3.

AdrenalineXV:

--- Quote from: [MAF]mooman on April 08, 2015, 01:42:33 am ---A perfect cube must have each of its factors repeated 3 times. It could also be written as (2*3)^3=6^3.

--- End quote ---

Ok, thank you. I will study this topic later to understand it the best.

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