1) For "29" to be the prime factorization of 81, 29 would, first, have to be a factor of 81 (it isn't) and would, second, have to equal 81 (since you list no other factors). This is clearly not possible.
2) For the prime factorization of 87 to be 2×2×3×3, this product would have to equal 87. However, 2×2×3×3 = 4×9 = 36, not 87.
To find the prime factorization of a number, divide by the smallest prime that divides evenly into the number. Then look at the number you get. Divide again by the smallest prime. Keep going until you get a result which is also a prime. These divisors and the final result form the prime factorization.
Eliz.