1000^3 = (10^3)^3 = 10^9 = 2^9 x 5^9
Perfect square factors have even exponents.
There are 5 even exponents between 0 and 9 for each 2 and 5.
Number of perfect square factors: 5x5 =25
Total number of factors: 9x9 =81
Fraction: 25/81
1.6m questions
2.0m answers