Question

Сколько различных простых делителей имеет число 17 в 28 степени А) 1 Б)16 В)28 Г)448

Answer 1

17 - простое число, поэтому 17 в 28-й степени имеет только 1 простой множитель
отвте: 1

Answer 2

Answer:

The number of different prime divisors of a number can be found using the formula: \[ \text{Number of different prime divisors} = (a_1 + 1)(a_2 + 1)...(a_n + 1) \] where \( a_1, a_2, ..., a_n \) are the powers of the prime factors in the prime factorization of the number.

For the number 17^28, the only prime factor is 17, and its power is 28. Therefore, the number of different prime divisors is \( 28 + 1 = 29 \).

So, the correct answer is В) 28.