30. 480 soni nechta bo'luvchiga ega?

To find the number of divisors of 480, we first find the prime factorization of 480.

1. \( 480 = 10 \times 48 = (2 \times 5) \times (6 \times 8) = (2 \times 5) \times (2 \times 3) \times (2 \times 2 \times 2) \)
2. Combine the prime factors: \( 480 = 2^5 \times 3^1 \times 5^1 \)

To find the total number of divisors, we add 1 to each exponent and multiply the results:

Number of divisors = \( (5+1) \times (1+1) \times (1+1) = 6 \times 2 \times 2 = 24 \)

Ответ: 24