Well, honey, in the number 840, there are 4 longest strings: "8", "4", and two "0"s. Looks like you hit the jackpot with those long strings, but don't get too excited - they're just numbers, after all.
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Stings with four factor that make 840
840=2*2*2*3*5*7
The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.
2 x 420 3 x 280 4 x 210 5 x 168 6 x 140