Generally, when there's a space between numbers, it's because this website doesn't like plus signs or exponents. It does make it difficult to know exactly what you're asking.
4: (4,1)(2,2)
4 + 4: (8,1)(4,2)
44: (44,1)(22,2)(11,4)
44: (256,1)(128,2)(64,4)(32,8)(16,16)
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The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
factor pair = 10852, 1 factor pair = 5426, 2 factor pair = 2713, 4
Four factor pairs: (1, 24) (2, 12) (3, 8) (4, 6)
There are 4 factor pairs of 114:114 = 1 x 114114 = 2 x 57114 = 3 x 38114 = 6 x 19
-4^1389 + 66=+67^7890