(i) The prime factorization of 729 is as follows:

729 = 3 × 3 × 3 × 3 × 3 × 3

= 27

(ii) The prime factorization of 400 is as follows:

400 = 2 × 2 × 2 × 2 × 5 × 5

= 20

(iii) The prime factorization of 1764 is as follows:

1764 = 2 × 2 × 3 × 3 × 7 × 7

= 42

(iv) The prime factorization of 4096 is as follows:

4096 = 2 × 2×2 × 2×2 × 2×2 × 2×2 × 2×2 × 2

= 2 * 2 * 2 * 2 * 2 * 2

= 64

(v) The prime factorization of 7744 is as follows:

7744 = 2 × 2×2 × 2×2 × 2×11 × 11

= 2 * 2 * 2 * 11

= 88

(vi) The prime factorization of 9604 is as follows:

9604 = 2 × 2×7 × 7×7 × 7

= 2 * 7 * 7

= 98

(vii) The prime factorization of 5929 is as follows:

5929 = 11 × 11 × 7 × 7

= 11 * 7

= 77

(viii) 9216 can be factorized as follows:

9216 = 2 × 2×2 × 2×2 × 2×2 × 2×2 × 2×3 × 3

= 2 * 2 * 2 * 2 * 2 * 396

(ix) The prime factorization of 529 is as follows:

529 = 23 × 23

= 23

(x) The prime factorization of 8100 is as follows:

8100 = 2 × 2×5 × 5×3 × 3×3 × 3

= 2 * 5 * 3 * 3

= 90