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Which of the options is correct for the smallest five-digit number that can be expressed in prime factorization form?

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2 × 2 × 2 × 5 × 5 × 5 × 5

2 × 2 × 4 × 5 × 5 × 5 × 5

2 × 2 × 2 × 5 × 5 × 5 × 10

2 × 2 × 2 × 2 × 5 × 5 × 5 × 5

answer is A.

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Detailed Solution

Given that the smallest five-digit number is 10000.
Factor tree of 10000 is,
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Prime factor of the smallest five-digit number 10000 is 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5.

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