# what is the total number of divisors of the number 12^33 x 34^23 x 2^47

11 replies [Last post]
Offline
Last seen: 5 years 18 weeks ago
Joined: 2012-12-19

a) 4658
b)9316
c)2744
d) none of these

__________________

n/a

__________________

n/a

Incognito
what is the total number of divisors of the number 12^33 x 34^23

d)none of these

Offline
Last seen: 5 years 14 weeks ago
Joined: 2013-01-13
The number of divisors is

The number of divisors is 111,792 so hence the answere is choice D none of these .

Offline
Last seen: 5 years 14 weeks ago
Joined: 2013-01-13
The number of divisors is

The number of divisors is 111,792 so hence the answere is choice D none of these .

Incognito
cant u xplain clearly.???

cant u xplain clearly.???

Incognito
cant u xplain clearly.???

cant u xplain clearly.???

Incognito
yeah! option D

yeah! option D

Incognito
the given question must be

the given question must be boiled down to its prime factors :
i.e
12^33*34^23*2^47 = (3*4)^33*(2*17)^23*2647
= 2^136 * 3^33 * 17^23

Now the nos of factors are:

(136+1)* (33+1) * (23+1) { product of powers of prime factors+1 )

= 137*34*24 = 111792

Incognito
the given question must be

the given question must be boiled down to its prime factors :
i.e
12^33*34^23*2^47 = (3*4)^33*(2*17)^23*2647
= 2^136 * 3^33 * 17^23

Now the nos of factors are:

(136+1)* (33+1) * (23+1) { product of powers of prime factors+1 )

= 137*34*24 = 111792

Incognito
yeah ....it is coming 111792

yeah ....it is coming 111792 ....137*34*24

Incognito