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Question
Number of ways can $1146600$ be written as the product of two factors are

numberspermutations & combinations
2016-10-29 05:12:26
Geetha
Ans: $108$

$1146600=2^3×3^2×5^2×7^2×13^1$
(from the above, it is also clear that $1146600$ is not a perfect square)

Number of factors of $1146600$
$=(3+1)(2+1)(2+1)(2+1)(1+1)=216$

i.e., there are $216$ factors for $1146600$.
Each of these factors have corresponding pair such that their product is $1146600$

Number of such different pairs $=\dfrac{216}{2}=108$

(0) (0)
2016-10-29 17:02:24
Javed Khan (Senior Math Expert, careerbless.com)