Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Number of ways in which 1440 can be resolved into product of two positive integers is Option: 1 15 <s

Number of ways in which 1440 can be resolved into product of two positive integers is 

Option: 1

15 


Option: 2

16 


Option: 3

17 


Option: 4

18 


Answers (1)

best_answer

As we have learned

The number of ways in which n can be resolved as a product of two factors.

\Rightarrow\ \; \frac{1}{2}(1+\alpha_{1})(1+\alpha_{2})........(1+\alpha_{k}) for n=p_{1}^{\alpha_1}p_{2}^{\alpha_2}..........p_{k}^{\alpha_k}

 

Now,

 1440 = 2 ^5 \times 3 ^2 \times 5 ^1

The required number of = \frac{1}{2}(5+1)(2+1)(1+1)=18

 

Posted by

seema garhwal

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions