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  • Number of ways in which 3600 can be resolved as product of its two factors is Option: 1 20 Op

Number of ways in which 3600 can be resolved as product of its two factors is 

Option: 1

20 


Option: 2

23 


Option: 3

26 


Option: 4

29 


Answers (1)

best_answer

As we have learned

Number of ways to resolve a perfect square number in 2 factors

\frac{1}{2}[(1+\alpha_{1})(1+\alpha_{2})..........(1+\alpha_{k})+1] wheren=p_{1}^{\alpha_1}p_{2}^{\alpha_2}..........p_{k}^{\alpha_k}

 

Now,

3600 is a perfect square and 

3600 = 2 ^4 \cdot 3 ^2\cdot 5 ^2

No. of ways = \frac{(4+1)(2+1)(2+1)+1}{2} = 23

 

 

 

 

Posted by

manish

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