Answer:
30
Step-by-step explanation:
7! = 7*(2*3)*5*(2*2)*3*2*1 = [tex]7*5*3^{2}*2^{3}[/tex]
Ignoring the 7, there are 24 factors of this number as you will multily each of the factors of 6! by 7 to get each of the factors of 7! divisble by 7. But since you ignored the 7, you need to bring back the possible values of 7*6, 7*5, 7*4, 7*3, 7*2, 7*1.
24 + 6 = 30 divisors
