Question

In how many ways the number 10800 can be resolved as a product of two factors?

Answer 1

Let `N=10800=2^(4)xx3^(3)xx5^(2)`
Here, N is not a perfect square [`because` power of 3 is odd]
Hence, the number of ways=`(1)/(2)(4+1)(3+1)(2+1)=3`.