The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.
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7*5*4*3*2 Is the longest factor string of 840
You will know because all of the numbers are prime.
2 x 2 x 2 x 3 x 5 x 7
2 x 2 x 2 x 3 x 5 x 7
36 of them.