Four
Explanation
A perfect cube is an integer for which there exists an integer, n, such that n3 equals that number. It is easy to see that n3 is a strictly increasing number for positive n (which simply means that as n gets bigger, n3 gets bigger).
13=1
23=8
33=27
43=64
These are the only perfect cubes between 1 and 80. The next perfect cube is 125 (=53) and all other positive perfect cubes are larger than this.
100
I believe there are 2 positive three-digit perfect cube numbers, that are even.
56 2,2,2,7 perfect cubes=1,8
26
Between the two numbers there are only two.
13 cubes 4,9,16,25,36,46,64,81,100,121,144,169,196
1, 8, 27, 64, 125 are the only cubes under 180. 1 is the only factor.
100
There are two.
There are infinitely many cubes between any two numbers - no matter how close together they are. However, there may be a more useful answer in terms of "perfect" cubes: 43 = 64 < 100 < 53 = 125 and 83 = 512 < 600 < 93 = 729 So there are 4 perfect cubes in the range - those of 5 6, 7 and 8.
I believe there are 2 positive three-digit perfect cube numbers, that are even.
Perfect cubes.
56 2,2,2,7 perfect cubes=1,8
Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
26
no