Answer:
For n= 40 p has 7 factors
For n= 20 p has 7 factors
For n= 10 p has 6 factors
For n= 30 p has 6 factors
Step-by-step explanation:
p = 2n + 1
Putting the value of n= 10
p1= 20+1= 21
Putting the value of n= 20
p2= 40+1= 41
Putting the value of n= 30
p3= 60+1= 61
Putting the value of n= 40
p4= 80+1= 81
p2- 1= (p+1)(p-1)
= (81+1)(81-1)
=( 82)(80)
= 6560
= (1312)5
= 328)4)5
= 41 (2)(2)(2)(2)(2)(5)
p2- 1= (p+1)(p-1)
= (61+1)(61-1)
=( 62)(60)
=3720
= (465)(8)
= (93)(5)(8)
= (31)(3)(5)(2)(2)(2)
p2- 1= (p+1)(p-1)
= (41+1)(41-1)
=( 42)(40)
= 1680
= (7)(3)(5*2)(2*2*2)
p2- 1= (p+1)(p-1)
= (21+1)(21-1)
=( 22)(20)
= 440
= (11)(2)(5)(2)(2)
