CameraIcon

SearchIcon

MyQuestionIcon

234

You visited us 234 times! Enjoying our articles? Unlock Full Access!

Combination with Restrictions

If a, b, c, d...

Question

If a,b,c,d,e are prime integers, then the number of divisors of $a b^{2} c^{2} d e$ excluding 1 as a factor, is

A

94

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

72

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

36

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

71

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
71

The numbers of divisors = $(1 + 1) (2 + 1) (2 + 1) (1 + 1) (1 + 1) - 1$ = 71

Suggest Corrections

thumbs-up

0

Similar questions

Q. The number of divisors of

a^{p} b^{q} c^{r} d^{s}

a, b, c, d

p, q, r, s

ϵ

1

and the number itself, is:

Q. The number of factors (excluding 1 & the expression itself) of the product of

a^{7} b^{4} c^{3} d e f

a, b, c, d, e, f

are all prime numbers is

Q. If there are 3n+1 numbers a,b,c,... be all are different and each is prime number then the number of different factors (excluding) of

a^{m} b c . . .

Q. If 𝑎, 𝑏, 𝑐 are negative integers and 𝑑, 𝑒 are positive integers, then (𝑎𝑏𝑐)/(𝑑𝑒) is:

If $a$ , $b$ , $c$ and $d$ are distinct prime numbers where $a$ is the smallest prime, then $a \times b \times c \times d$ is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Combination with Restrictions

Standard XI Mathematics

Join BYJU'S Learning Program

CrossIcon