Question
Write the largest $4-$digit number and give its prime factorization.

Answer

The largest $4-$digit number is $9999.$ We have:
$3$
$9999$
$3$
$3333$
$11$
$1111$
$101$
$101$
 
$1$
Hence, the largest $4-$digit number $9999$ can be expressed in the form of its prime factors as: $3 \times 3 \times 11 \times 101.$

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