The prime factorization will always be longest.
2 x 3 x 7 = 42
2 x 2 x 3 x 5 = 60
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The longest factor string of 44 is contained within the longest factor string of 132.
The longest factor string for 9 is 3 x 3.
All of the factors are prime.
The number of numbers in the string; how long it is.
The longest factor string for 45 is 3 x 3 x 5