To find the number of divisors of 36, we first find the prime factorization of 36.
\( 36 = 2^2 \times 3^2 \)
To find the total number of divisors, we add 1 to each exponent and multiply the results:
Number of divisors = \( (2+1) \times (2+1) = 3 \times 3 = 9 \)
The divisors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Ответ: 9