how-many-divisors-does-180045-has-

Question Number 76580 by Rio Michael last updated on 28/Dec/19

how many divisors does 180045 has ?

Commented by mr W last updated on 28/Dec/19

\frac{180045}{5} = 36009

\frac{36009}{3} = 12003

\frac{12003}{3} = 4001 = p r i m e

\Rightarrow 180045 = 3^{2} \times 5 \times 4001

n u m b e r o f d i v i s o r s f r o m 180045 :

(2 + 1) (1 + 1) (1 + 1) = 3 \times 2 \times 2 = 12

Commented by Rio Michael last updated on 28/Dec/19

sir why are you doing an addition plus 1 ?

Commented by Kunal12588 last updated on 28/Dec/19

i f N = p_{1}^{a_{1}} . p_{2}^{a_{2}} . p_{3}^{a_{3}} \dots p_{n}^{a_{n}}; p_{1, 2, 3 \dots} a r e p r i m e

t h e n, d (N) = \underset{i = 1}{\prod^{n}} (a_{i} + 1)

d (N) i s a f u n c t i o n w h i c h t e l l s n o . o f d i v i s e r s

Commented by JDamian last updated on 28/Dec/19

K u n a l : y o u s h o u l d u s e N f o r t h e n u m b e r

a n d n f o r t h e n u m b e r o f d i f f e r e n t p r i m e s .

O t h e r w i s e i t i s c o n f u s i n g .

Commented by Kunal12588 last updated on 28/Dec/19

o h h, t h a n k y o u v e r y m u c h s i r