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The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.
2 cube root 6
Do the prime factoring. Then you will quickly see what cubes you can get.
You can find a cube root by guessing which two root numbers the number comes exactly in between. Then you can decide which root number is closest to it or guess and check to find the number that cubes to it. like the cube root of 27 would be 3. 3 to the power 3 = 27. There is no formula for calculating roots of numbers. It is done by a series of approximations. x^(1/3) = exp (ln (x)/3)
What is the cube root of 17