Sqrt (256 + 256) = sqrt 64 x sqrt 4 x sqrt 2 = 16 root 2 = just over 22' 7½".
16 x 16 = 256
2 root 4 = 2 x 2; -2 to the power 4 is 16 (-2/4/-8/16)
Possible dimensions: 1 x 256, 2 x 128, 4 x 64, 8 x 32 This fits. Perimeter = 2(L + W) = 2 x (8 + 32) = 2 x 40 = 80 m
(x - 1)(x + 1)(x^2 + 1)(x^4 + 1)(x^8 + 1)(x^16 + 1)(x^32 + 1)(x^64 + 1)(x^128 + 1)
√256 x √4 = 16 x 2 = 32
16x2 - 128x + 256 = 16(x2 - 8x + 16) = 16(x - 4)2, or [4(x - 4)]2, or (4x - 16)2
1 x 256 2 x 128 4 x 64 8 x 32 16 x 16
1 x 256, 2 x 128, 4 x 64, 8 x 32, 16 x 16 = 256
1 x 256, 2 x 128, 4 x 64, 8 x 32, 16 x 16.
They are: 1, 2, 4, 8, 16, 32, 64, 128, 256.
1 x 256, 2 x 128, 4 x 64, 8 x 32, 16 x 16, 32 x 8, 64 x 4, 128 x 2, 256 x 1
264
1 x 256, 2 x 128, 4 x 64, 8 x 32, 16 x 16
3 raised to the third power is 3 x 3 x 3 = 27 The smallest number that cane be written as a power of 2,4, or 8 is 256, since 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2 to power 8 256 = 4 x 4 x 4 x 4 = 4 to power of 4 256 = 16 x 16 = 16 to power 2
1 x 256, 2 x 128, 4 x 64, 8 x 32, 16 x 16
Take your pick: 1 x 256 = 256 2 x 128 = 256 4 x 64 = 128 8 x 32 = 256 16 x 16 = 256 (Also, for each pair of factors above, they can be both negative, eg -4 x -64 = 256.)