Verified answer

Fatoração prima de 17!:

= 17 ⋅ 16 ⋅ 15 ⋅ 14 ⋅ 13 ⋅ 12 ⋅ 11 ⋅ 10 ⋅ 9 ⋅ 8 ⋅ 7 ⋅ 6 ⋅ 5 ⋅ 4 ⋅ 3 ⋅ 2 ⋅ 1

= 17 ⋅ (2⁴) ⋅ (3 ⋅ 5) ⋅ (7 ⋅ 2) ⋅ 13 ⋅ (3 ⋅ 2²) ⋅ 11 ⋅ (5 ⋅ 2) ⋅ 3² ⋅ 2³ ⋅ 7 ⋅ (3 ⋅ 2) ⋅ 5 ⋅ 2² ⋅ 3 ⋅ 2

= 17 ⋅ 13 ⋅ 11 ⋅ 7² ⋅ 5³ ⋅ 3⁶ ⋅ (2³)⁵

Divisores ímpares não podem conter 2 como fator primos. Temos M fatores ímpares.

Para achar os fatores pares, é só multiplicar 2 por isso tudo, e como temos 2 elevado a 15ª potência, o número de fatores pares será 15 vezes o número de fatores ímpares.

N = 15M

N/M = 15M/M = 15

Edit.: Escolhe a melhor resposta, né...