Express the following number as a product of its prime factors:
$3825$

3 \times 5^{2} \times 17^{3}

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3^{2} \times 5 \times 17

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3^{2} \times 5^{2} \times 17

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3^{2} \times 5^{3} \times 17

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Solution

The correct option is B $3^{2} \times 5^{2} \times 17$
$3825 = 3 \times 3 \times 5 \times 5 \times 17$
$= 3^{2} \times 5^{2} \times 17$

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