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Yes, the larger the prime number the better.
5 x 7 x 11 x 13 = 5005
A prime number with identical digits is 11.
The factors from greatest to least are: 11,11,5,3,3. The smallest prime factor is 3. You can get a quick idea of this by the fact that the digital root (number that goes evenly into the sum off all digits) is 18 which is divisible by 3.
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