what are the total number of divisors of 600(including 1 and 600)?

June 23, 2019

What are the total number of divisors of 600(including 1 and 600)?

Option
a.24
b.40
c.16
d.20

600=2*2*2*3*5*5,p=3,q=1,r=2
so number of factors=(p+1)(q+1)(r+1)=4*2*3=24

or

If N=a^p*b^q*c^r…. then the number of factors of N = (p+1)(q+1)(r+1) ….
600 = 2^3×3×5^2
So number of factors of 600 = (3+1)(1+1)(2+1) = 24
option(a)
or divisiors of 600 are
1*600
2*300
3*200
4*150
5*120
6*100
8*75
10*60
12*50
15*40
20*30
24*25
total=24