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The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to

  1. $18$
  2. $720$
  3. $360$
  4. $36$
in Numerical Ability by Veteran (425k points)
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1 Answer

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Option A) 18 is correct

$1440=2^5*3^2*5^1$

No of factors of $1440$= $(5+1)(2+1)(1+1)$=$36$

1440 is not a perfect square so no of ways it can be written as product of two factors = $36/2=18$


If n is not a perfect square then no of ways it can be written as product of factors= (# of factors of n)/2

If n is a perfect square then no of ways it can be written as product of factors = (# of factors of n -1)/2

by Boss (15.6k points)
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