Question

In how many ways can 1146600 be written as the product of two factors​

Answer 1

Answer: 108

Hope it helps.....

Answer 2

Answer:

$108$

Step-by-step explanation:

$1146600$ = $2^{3} \times 3^{2} \times 5^{2} \times 7^{2} \times 13^{1}$

Hence, it can be said that the number $1146600$ is clearly not a perfect square.

The number of factors of $1146600$ are $(3+1) (2+1) (2+1) (2+1) (1+1) = 216$.

This implies that in total there are $216$ factors for $1146600$.

Now, every one of these factors will have a corresponding pair in a manner that their product is $1146600$.

To calculate the number of pairs, we will simply divide the total number of factors, that is, $216$ by $2$.

Therefore, the total number of such different pairs will be = $\frac{216}{2}$  = $108$

Final Answer:

$1146600$ can be written in $108$ ways as the product of two factors.

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