Answer:
Step-by-step explanation:
First, factorize 4704 into its prime factors: 4704=266×3×7^2
Next, group the prime factors into triples, since a cube number has three equal factors: 4704=(2^3)^2×3×(7^2)^1
Then, find the product of the unpaired factors, which are 3 and 7^2: 3×7^2=147
Finally, divide 4704 by 147 to get the smallest whole number h: 4704/147=32
The smallest whole number h such that 4704 divided by h is a cube number is 16.
