48 cubed = 484848
Find factors of 48:
12 and 4
124=48
Neither of those numbers are prime factors so we have to break both of then down further.
Find prime factors of 4:
22=4
Find factors and prime factors of 12:
12= 43
3 is a prime factors but 4 is not. Break down 4 again and get 223=12
So put that all together and get the prime factors of 48, they are:
22223
The prime factor of 48 cubed is the same thing as the prime factor of 48 three times
The prime factors are:
22222222222233*3
(12 2's and 3 3's)