Write the smallest $5$ -digit number and express as a product of prime numbers.

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Solution

Step 1: Identifying the smallest $5$ - digit number
The smallest $5$ -digit number $= 10000$
Step 2: Prime factorisation of the smallest $5$ -digit number
Therefore, the smallest $5$ -digit number expressed as product of primes $= 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5$

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