The prime factors of 729 are 3x3x3x3x3x3 (or 36).
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There isn't one. The cube root of 729 is 9, which is composite (3x3).
729 is not prime. 729 = 3 * 3 * 3 * 3 * 3 * 364 is not prime. 64 = 2 * 2 * 2 * 2 * 2 * 2
64, 729, 15625 and so on. Prime numbers to the 6th power.
The square root of 729 is 27 and 729 squared is 531441
Yes.