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Prime Factorization

Area of a plo...

Question

Area of a plot is $693 m^{2} .$ It is known that the length of the plot is a prime number. Find the possible value(s) of the length.

A

3 m

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B

7 m

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C

9 m

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D

11 m

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Solution

The correct option is D $11 m$
Prime factorization of $693$ is $3^{2} \times 7 \times 11$

Given that value of length is a prime number.
$∴$ Possible values of length are $3 m, 7 m$ and $11 m .$

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