How many positive integral factors (including 1 and itself) does 36 have? A 1 B 2 C 3 D 4 E 5 F 6 G 7 H 8 I 9 J 10 K 11 L 12 M 13 N 14 O 15 P 16

To find the number of positive integral factors of 36, we first need to find its prime factorization.

The prime factorization of 36 is 2^2 * 3^2.

The number of factors is determined by adding 1 to the exponent of each prime factor in the prime factorization and then multiplying those results together.

So, for 36, we add 1 to the exponent of 2 (which is 2) and 1 to the exponent of 3 (which is 2).

This gives us (2+1) * (2+1) = 3 * 3 = 9.

So, 36 has 9 positive integral factors.

Therefore, the answer is I. 9.